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

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 Question 286948: Let vector v=<5,-1,4>. Give a vector w in the opposite direction of v and with magnitude twelve. Give its components to the nearest tenth. I don't understand how to solve the problem and I can't seem to find any similar examples in the text. Click here to see answer by scott8148(6628)

 Question 289125: find a dot b for a = <1,3> and magnitude b =5 and the angle between these vectors is 120 degrees. Click here to see answer by jim_thompson5910(29613)

 Question 294636: If a and b be two vectors and m be a scalar, then how can I show that m(a+b)=ma+mb Click here to see answer by helpnalgebra(91)

 Question 303146: 16. Give the rectangular coordinates of the polar point (-5, 135°). Click here to see answer by nerdybill(7090)
 Question 303146: 16. Give the rectangular coordinates of the polar point (-5, 135°). Click here to see answer by Edwin McCravy(9717)

 Question 304855: vector v = 2vectori - 5vectorj Find a unit vector in the same direction as vector v A) 2/sqrt29 vector i - 5/sqrt29 vector j B) 5/sqrt29 vector i - 2/sqrt29 vector j C) sqrt29/2 vector i - sqrt29/5 vector j D) sqrt29/5 vector i - sqrt29/2 vector j E) None Your help is very appreciated. Click here to see answer by themathtutor2009(81)

 Question 307483: Can anyone help me with solving this derivative? Click here to see answer by Alan3354(34678)

 Question 308753: Find the magnitude of w to three significant digits and its bearing to the nearest tenth of a degree. u:magnitude 621, bearing 305 degrees v:magnitude 336, bearing 15 degrees Find w if 3(w+u)=2(w-v) Thank You so much Click here to see answer by Fombitz(13828)

 Question 310051: To fly due north at 580km/h when there is a 45km/h wind blowing from 130degrees, with what heading and speed should a plane travel? Thanks so much! Click here to see answer by Alan3354(34678)

 Question 310114: A plane's air speed is 270 km/h, and its heading is 70degrees. Find its ground speed and true-course bearing if a wind of 50 km/h is blowing from due north. Please help. Thank You so much! Click here to see answer by Alan3354(34678)

 Question 317065: Hi all, I was hoping someone would show me how to Find the scalar products of the vectors: a = i - j + 3k and b = -i + 2j + k What can be said about the position of these vectors relative to eachother? How can I determine a + b? Some help with relavant steps and explanations would be great. -Nick. Click here to see answer by Fombitz(13828)

 Question 328183: If ABCD is a parallelogram with A(2,1,4), B(1,4,3) and C(1,0,2), find: (a) the area of the parallelogram (b) the coordinate of D Click here to see answer by Edwin McCravy(9717)

 Question 330037: Wrongly called for a foul, an angry basketball player throws the ball straight down to the floor. If the ball bounces straight up and returns to the floor 2.5 s after first striking it, what was the ball's greatest height above the floor? Click here to see answer by scott8148(6628)

 Question 330221: The vector, v, is multiplied by a scalar as shown below. In which quadrant will the terminal point of the product vector be? V= -i + j -3v Click here to see answer by Fombitz(13828)

 Question 330544: A basketball player shoots a basketball with a speed of 50 feet per second at an angle of 50 degrees upward from the ground. The vector that describes the motion of the basketball is Click here to see answer by Fombitz(13828)

 Question 333228: How do you write the equation to convert meters per second to mester per second squared Click here to see answer by solver91311(18785)

 Question 333487: Hi again, Will someone show me how to determine whether the following line: L= (2,-3,4) + t(1,2,3) contains the point (4,1,10). Would be most appreciated. Thanks, -Nick Click here to see answer by Alan3354(34678)

 Question 333475: For u= i + j - 2k, v= 3i + j + 2k and w= 2i - 2j - 3k Will someone please show me how to find the cross product of u and w? Thanks, -Nick Click here to see answer by Alan3354(34678)

 Question 333563: What is the y-value in the solution to the system {x+y=4}{2x-2y=0} Click here to see answer by stanbon(60778)

 Question 334041: Will someone please explain to me how I can find the vector which starts at (1,2,-1) and ends at (0,-3,2)? Any help would be great. Thanks, -Nick. Click here to see answer by user_dude2008(1861)

 Question 334428: Will someone help me to show that the 4 points (2,0,1), (-1,2,3), (3,2,2) and (3,-6,-3) lie in a plane. Thanks -Nick. Click here to see answer by stanbon(60778)

 Question 334795: How can I use the vector product to find the angle between the vectors: v= 6i - 3j + k and w= 2i + 2j - k. ??? Any help would be great. -Nick Click here to see answer by Alan3354(34678)

 Question 334424: Will someone please show me how to determine whether the lines: (x+1)/3 = (y-2)/2 = (x+7)/5 and (x-3)/-2 = (y+2)/-2 = (x-1)/2 are orthogonal, parallel, or neither. How is this done? Thanks, -Nick. Click here to see answer by Fombitz(13828)

 Question 338490: two cars leave a crossroads at the same time. One heads north at 50km/h and the other heads east at 70km/h. How far apart art the cars after 0.5h? After 2h? Click here to see answer by mananth(13127)
 Question 338490: two cars leave a crossroads at the same time. One heads north at 50km/h and the other heads east at 70km/h. How far apart art the cars after 0.5h? After 2h? Click here to see answer by fractalier(2101)

 Question 338501: a 1200-kg car goes from 10m/s to 24 m/s in 16s. What is the average force acting upon it Click here to see answer by fractalier(2101)

 Question 338503: a bull and a cow elephant, each of mass 2000kg attract each other gravitationally with a force of 1 X10-5N. Haw far apart are they? Click here to see answer by fractalier(2101)

 Question 339911: Find a unit vector in the same direction as a = (-10, 3, -9). Click here to see answer by jim_thompson5910(29613)
 Question 339911: Find a unit vector in the same direction as a = (-10, 3, -9). Click here to see answer by Fombitz(13828)

 Question 345483: Hi there, Please could you help with this: find the equation of the line that contains points (3,-2, 1) and (1, 1,-3). Thankyou muchly Click here to see answer by Edwin McCravy(9717)

 Question 346124: Solve the problem: Find the inner product of the vectors <2,5> and <4, -2>. Then state whether the vectors are perpendicular or not. Click here to see answer by Fombitz(13828)
 Question 346124: Solve the problem: Find the inner product of the vectors <2,5> and <4, -2>. Then state whether the vectors are perpendicular or not. Click here to see answer by Edwin McCravy(9717)