# Questions on Algebra: Introduction to vectors, addition and scaling answered by real tutors!

Algebra ->  Algebra  -> Vectors -> Questions on Algebra: Introduction to vectors, addition and scaling answered by real tutors!      Log On

 Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

 Algebra: Introduction to vectors, addition and scaling Solvers Lessons Answers archive Quiz In Depth

 Question 346672: Find an ordered triple to represent x in x = -6z + 1/4y if y = <2, 18, -4/5> and z = <-1/2, 3/4, -1/6> a)<24/8, 0, 4/5> b)<7/2, 0, 4/5> c)<7/2, 0, 6/5> d)<7/2, 33/8, 4/5> Click here to see answer by Fombitz(13828)

 Question 351805: what is the counterexample of " if y<0, then y^n<0 for any real number n" Click here to see answer by Fombitz(13828)

 Question 360578: Find the magnitude of the following vector v= 5i - 2j Click here to see answer by stanbon(57361)

 Question 366466: Morning, Please could somebody possible help with this Right its been a while since i have attempted maths, and have just gone back to further ed. I have attempted the following questions, which im sure should be simple, but of course like anything its just getting back into things after a number of years. i have listed the questions below, and my answers if anybody will take the time to have a quick look and correct me where neccessary i would appreciate this. 1)Find dy/dx by differentiating with respect to x the following expressions. a) y=x^3-6x^2+9x-1 = 3x^2-12x+8 b) y=1/2x -sqrtx = 1/2-1/2x^-1/2 c) y=e^x-e^-x = e^x+e^-x d) y=25cosx--sinx = -25sinx-cosx e) y= 3sinhx-4coshx = 3hsinhx+4hsinhx f) y= (x^2+1) sinhx = 1 2 Use product rule to obtain dy/dx for the following a) y=x^2e^x = 2x(e^x)+x^2(e^x) b) y= xtanx = 1(tanx)+x(sec^2x) c) y= x^4ln(x)= 4x^3(ln(x))+x^4(1/x) d) y= x^2sinx = 2x(sinx)+x^2(cosx) e) y= e^-xcosx = -e^-x(cos x)+ e^-x (-sinx) f) y=(x^2+1)sinhx = (2x +1) (sinhx)+(x^2+1)(cosh x) Finally, use the quotient rule to differentiate with respect to x, simplifying as far as possible. a) y= sinx/1+e^-x = 1+e^-x(cosx)-(1-e^x)sinx/(1+e^-x)^2 b) y= lnx/1+x^2 = 1+x^2(1/x)-1+2x(ln x)/(1+x^2)^2 Really this would be appreciated thank you Click here to see answer by Fombitz(13828)

 Question 368274: Hello Everyone please can you help with this a) Find a vector which is perpendicular to the plane containing the vectors a=6i+k and b=2i+j b) Find the area of the triangle with vertices at the points with coordinates (1,2,3),(4,-3,2) and (8,1,1) Really wlould appreciate help on this one Thanks Mick Click here to see answer by Fombitz(13828)

 Question 381513: 4y=2(x+1)^2-1 tell me the y intercept and give me a table of values please Click here to see answer by ewatrrr(10682)

 Question 382952: my paper says to "list the steps for the algebraic addition of vectors and solve a problem of your choice" what would the steps be and can you give me a sample problem? Click here to see answer by stanbon(57361)

 Question 384223: Find the distance from(2,-7) to the line defined by y=2x-6. Express as a radical or a number rounded to the nearest hundreth. Click here to see answer by rfer(12660)

 Question 388402: Not really sure how to approach this Find the volume of the figure bounded by the following planes. x + z = -3 10x - 3z = 22 4x - 9z = -38 y = -4 y = 10 If you can either help with how to approach this or an actual solution, that would be great ^^ Click here to see answer by Fombitz(13828)

 Question 389306: If P(1, -2, 4) is reflected in the plane with equation 2x - 3y - 4z + 66 = 0, determine the coordinates of its image point, P'. Note that the plane 2x - 3y - 4z + 66 = 0 is the right bisector of the line joining P(1, -2, 4) with its image. Any help would be appreciated ^.^ Click here to see answer by robertb(4012)

 Question 389493: 5. The position of a lost hiker, H, is given by the parametric equations , where position is measured in km, and time in hours. The position of his rescue party, R, is given by . a) Find the initial position of the hiker and his rescue party. b) Find the velocity vector of each. c) When is the rescue party closest to the hiker and how close are they at this time? C is giving me the most trouble, any help is appreciated ^.^ Click here to see answer by josmiceli(9681)

 Question 392747: write a mathematical equation that is equivalent to the sentence. If 2 is subtracted from the reciprocal of x the result is the product of x and a. Click here to see answer by rfer(12660)

 Question 392757: What is the fifth term in the geometric sequence which begins 2, - 1, 1/2? Click here to see answer by ewatrrr(10682)
 Question 392757: What is the fifth term in the geometric sequence which begins 2, - 1, 1/2? Click here to see answer by solver91311(16897)

 Question 427512: A model of an airplane is 11 inches in length. The actual length of the airplane is 209 feet. What is the scale used to build the model? Click here to see answer by stanbon(57361)

 Question 431778: 1.what is the product of the complex numbers (3+i) and (3-i)? 2.If i=the square root of _1,show the location of 5_2i on a graph? 3.If i=the square root of _1,what is the value of i the power of 4? 4.If i=the square root of _1 and a and b are non-zero numbers,what is 1/(a+bi) PLEASE HELP ME ,THANK YOU FOR WILLING TO HELP ME Click here to see answer by Alan3354(30993)

 Question 441227: 1. The magnitude and direction of vectors u and v are given. Find vector w's polar coordinates. u: magnitude 140, bearing 160° v: magnitude 200, bearing 290° w: u + v 2. The magnitude and direction of vectors u and v are given. Find vector w's polar coordinates. u: magnitude 30, bearing 215° v: magnitude 30, bearing 110° w: 3u - v 3. The magnitude and direction of vectors u and v are given. Find vector w's polar coordinates. u: magnitude 10, bearing 30° v: magnitude 25, bearing 120° w: 8u + 3v 4. The magnitude and direction of vectors u and v are given. Find vector w's polar coordinates. u: magnitude 15, bearing 60° v: magnitude 20, bearing 160° w: 2u - 3v 5. The magnitude and direction of vectors u and v are given. Find vector w's polar coordinates. u: magnitude 136, bearing 220° v: magnitude 197, bearing 300° w: u + v 6. The magnitude and direction of vectors u and v are given. Find vector w's polar coordinates. u: magnitude 218, bearing 22° v: magnitude 170, bearing 112° w: u - v 7. The magnitude and direction of vectors u and v are given. Find vector w's polar coordinates. u: magnitude 136,. bearing 220° v: magnitude 197, bearing 300° w: 2u - v 8. The magnitude and direction of vectors u and v are given. Find vector w's polar coordinates. u: magnitude 1850, bearing 125° v: magnitude 2960, bearing 25° w: u + 2v 9. The magnitude and direction of vectors u and v are given. Find vector w's polar coordinates. u: magnitude 460, bearing 0° v: magnitude 712, bearing 130° w: u + v 10. The magnitude and direction of vectors u and v are given. Find vector w's polar coordinates. u: magnitde 23, bearing 215° v: magnitude 14.5, bearing 105° w: u + v 11. The magnitude and direction of vectors u and v are given. Find vector w's polar coordinates. u: magnitude 3.62, bearing 25° v: magnitude 14.5, bearing 105° w: u + v 12. The magnitude and direction of vectors u and v are given. Find vector w's polar coordinates. u: magnitude 621, bearing 305° v: magnitude 336, bearing 15° 3(w + u) = 2(w - v) 13. Give the rectangular coordinates: (4, 30°) 14. Give the rectangular coordinates: (2, 45°) 15. Give the rectangular coordinates: (-3, 120°) 16. Give the rectangular coordinates: (-5, 135°). 17. Give the rectangular coordinates: (7, -60°). 18. Give the rectangular coordinates: (-6, -150°). 19. Give the rectangular coordinates: (-3, -120°). 20. Give the polar coordinates: (4, 0). 21. Give the polar coordinates: (-√2, √6). 22. Give the polar coordinates: (0, -3). 23. Give the polar coordinates: (-√5, √5) 24. Give the polar coordinates: (-2, 2). 25. Give the polar coordinates: (-√2, -√2). 26. Give the polar coordinates: (√3, -1). 27. Give the polar coordinates: (-1, √3). 28. Write in x + yi form: 2.2(cos 150° + i sin 150°) 29. Write in x + yi form: 3(cos20° + i sin20°) 30. Write in x + yi form: 0.8(cos 250° + i sin 250°) Click here to see answer by richard1234(5390)

 Question 443198: What two numbers are factors in 2 and 3 Click here to see answer by swincher4391(726)

 Question 449187: Find the coordinates of the point where the line with parametric equations: x=1-t, y=3+t and z=3-2t meets the X0Y plane. Thanks :) Click here to see answer by Edwin McCravy(8909)

 Question 450557: Hi, Find the distance from point (2, -3) to the line Thanks :D Click here to see answer by Alan3354(30993)

 Question 460103: Solve the solution -5 < x + 3 < 11 Click here to see answer by jim_thompson5910(28595)
 Question 460103: Solve the solution -5 < x + 3 < 11 Click here to see answer by algebrahouse.com(1079)

 Question 462787: Determine the equation of the line that passes through the point A(1,0,2) and intersects the line r=(-2,3,4)+s(1,1,2) at a right angle. Click here to see answer by robertb(4012)

 Question 482824: nafeesa graphed a line with a slope of 5 and a y-intercept of (0,-2) whats the equation of her line? Click here to see answer by rfer(12660)

 Question 499885: Solve the equation to find a formula for r. V=1/3Pir^2h r= (smaller value) r= (larger value) Click here to see answer by Alan3354(30993)

 Question 499880: Solve the equation to find a formula for d. F=G m1m2/d^2 Click here to see answer by rfer(12660)

 Question 505070: I hope it's the right category...... Anyway, I understand I can use formula Y=VoT + 1/2 AyT^2 (Y= total displacement, Vot is initial velocity, Ay is acceleration on the Y axid, and T is time). I understand that if Vo=0, the VoT cancels out, which leaves me Y= 1/2 AyT^2 to work with. I can understand in order to find T, the formula then becomes T= square route 2Y/Ay. Except where does the 2 in the 2Y/Ay come from???? Please explain where this 2 is coming from.... it's driving me batty :) Click here to see answer by scott8148(6628)

 Question 517483: okay Im trying to help my daughter we got some answers but want to make sure. Bob excerts 30.0-n force to the left on a box (m=100.0kg) Carol excerts 20.0-n force on the same box perpendicular to Bobs force whats the net force on the box and determine the acceration of the box and at what rate would the box accerate if both forces where to the left instead of perpendicular to each other? thank you. Click here to see answer by bucky(2189)

 Question 521028: idk how to solve this problem 36-4(k+m),for k=1,n=3 Click here to see answer by solver91311(16897)

 Question 524889: A certain escalator travels at a rate of 10.6 m/min, and its angle of inclination is 32.5 degrees. What is the vertical component of the velocity? How long will it take a passenger to travel 10.0 m vertically? Click here to see answer by stanbon(57361)

 Question 524976: The heading of a plane is 27.7 degrees NE, and its air speed is 255 mi.h. If the wind is blowing from the south with a velocity of 42.0 mi/h, find the actual direction of travel of the plane, and its ground speed. Click here to see answer by Alan3354(30993)
 Question 524976: The heading of a plane is 27.7 degrees NE, and its air speed is 255 mi.h. If the wind is blowing from the south with a velocity of 42.0 mi/h, find the actual direction of travel of the plane, and its ground speed. Click here to see answer by Edwin McCravy(8909)

 Question 539229: Find the magnitude and direction (in degrees) of the vector. v = 3i +√7j Click here to see answer by jim_thompson5910(28595)

 Question 573938: The average annual salary of a professional baseball player can be modeled by the function S(x)=246+64x-8.9x^2 + 0.95x^3 Where S represents the average annual salary in thousands of dollars and x is the number of years since 1982. Determine the rate at which the average salary is changing in 2005 Click here to see answer by solver91311(16897)

 Question 577666: Determine the quadrant in which the terminal point of the vector v=5i+j is located Click here to see answer by Alan3354(30993)

 Question 578147: The vectors i, j are unit vectors along the x-axis and y-axis respectively. the vectors u=-i+2j and v=3i+5j are given. A vector w has the same direction as u+2v, and has a magnitude of 26. Find w in terms of i and j. Click here to see answer by dfrazzetto(277)

 Question 578401: Find the angle between the vectors i-j and j-k Click here to see answer by Alan3354(30993)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315