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

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Question 278378: Give the polar coordinates: (0, -3).
Click here to see answer by nyc_function(2741) About Me 

Question 278377: Give the polar coordinates: (-2, 2).
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Question 278377: Give the polar coordinates: (-2, 2).
Click here to see answer by Theo(13342) About Me 

Question 279474: Please help me solve this problem: -2(2x - 1) greater than or = to -9
Thanks for your help!


Click here to see answer by bcman8092(7) About Me 

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) About Me 

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(35256) About Me 

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) About Me 

Question 303146: 16. Give the rectangular coordinates of the polar point (-5, 135°).

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Question 303146: 16. Give the rectangular coordinates of the polar point (-5, 135°).

Click here to see answer by Edwin McCravy(20055) About Me 

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) About Me 

Question 307483: Can anyone help me with solving this derivative?
+%281%29+%2F+%281+%2B+%281%2F%28x%2B1%29%29%29++

Click here to see answer by Alan3354(69443) About Me 

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(32388) About Me 

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(69443) About Me 

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(69443) About Me 

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(32388) About Me 

Question 326009: Give the rectangular coordinates: (2, 45°)
Click here to see answer by AAfter Search(61) About Me 

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(20055) About Me 

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) About Me 

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(32388) About Me 

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(32388) About Me 

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(24713) About Me 

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(69443) About Me 

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(69443) About Me 

Question 333562: Find the vertex of y = |2x+4|-3
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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(75887) About Me 

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(1862) About Me 

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(75887) About Me 

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(69443) About Me 

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(32388) About Me 

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(16946) About Me 
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(6550) About Me 

Question 338501: a 1200-kg car goes from 10m/s to 24 m/s in 16s. What is the average force acting upon it
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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?
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Question 339911: Find a unit vector in the same direction as a = (-10, 3, -9).
Click here to see answer by jim_thompson5910(35256) About Me 
Question 339911: Find a unit vector in the same direction as a = (-10, 3, -9).
Click here to see answer by Fombitz(32388) About Me 

Question 339919: if log3 81 = x, then x?
Click here to see answer by Fombitz(32388) About Me 
Question 339919: if log3 81 = x, then x?
Click here to see answer by jim_thompson5910(35256) About Me 

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(20055) About Me 

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(32388) About Me 
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(20055) About Me 

Question 346121:
Click here to see answer by Fombitz(32388) About Me 

Question 346134: Find the cross product of the <2, -1, 4> and <6, -2, 1>. Is the resulting vector perpendicular to given vector?
Click here to see answer by Fombitz(32388) About Me 

Question 346177: two cars leave a crossroads at the same time. One heads north at 50 km/h and the other heads east at 70 km/h. How far apart are the cars after .5 h? after 2.0 h?
Click here to see answer by Fombitz(32388) About Me 

Question 346160: A) Find the inner product of a and b if a = <4, 5/4, -1/3> and b = < 1/2, -2, -3/2>, and state whether the vector are perpendicular.
a. 5; no
b. 5; yes
c. 0; yes
d. 0; no
B) Find the cross product of v and w if v = <-1/3, 4, -3/8> and w = < 6, -4/5, 4>

Click here to see answer by nyc_function(2741) About Me 

Question 346157: Write a vector equation of the line that passes through point p and is parallel to line a. Write parametric equations of the line.
A) P(-1, 3); a = <-6, -1>
B) P(0, 5); a = <2, -9>

Click here to see answer by nyc_function(2741) About Me