SOLUTION: This is a follow up question for my last one. Given the vectors v(1) = <3,4>, v(2) = <1,1>, and v(3) = <2,7> What is the direction of vector v(1)? Thank you.

Algebra.Com
Question 980957: This is a follow up question for my last one.
Given the vectors v(1) = <3,4>, v(2) = <1,1>, and v(3) = <2,7>
What is the direction of vector v(1)?
Thank you.
Found 2 solutions by jim_thompson5910, Edwin McCravy:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
< a, b > = < 3, 4 >
a = 3, b = 4

theta = arctan(b/a)
theta = arctan(4/3)
theta = 53.1301 ... this is approximate, use a calculator here

The direction of vector v(1) = < 3, 4 > is approximately 53.1301 degrees
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
Here is a picture of the vector <3,4>. A vector is an arrow.
It has a tip and a tail.  It can be located anywhere.  The
green line is 3 units long.  It represents the first component 
3 and the red line indicates its y-component 4.  The angle q
is the direction of the vector.




Its direction is inverse tangent of 4/3 or 53.13° North of East.

Its magnitude is found by the Pythagorean theorem:

Its magnitude is the length of the arrow, or
 


Edwin
RELATED QUESTIONS

Given the vectors v(1) = <3,4>, v(2) = <1,1>, and v(3) = <2,7> What is the magnitude of... (answered by jim_thompson5910)
Given the vectors v(1) = <3,4>, v(2) = <1,1>, and v(3) = <2,7> What is the magnitude of... (answered by Timnewman)
Given the vectors v = -2i + 5j and w = 3i + 4j, determine #1 1/2 v #2 w - v (answered by Alan3354)
Given the vectors u=(2,4) and v=(-3,6), find 1/2u+v The answer is one of the... (answered by ikleyn)
What is the angle Θ between the two vectors u=<3,4> and... (answered by MathLover1)
Q−4: [6+4 marks] Let S={v_1,v_2,v_3} be a linearly independent set of vectors in〖... (answered by CPhill)
Q−4: [6+4 marks] Let S={v_1,v_2,v_3} be a linearly independent set of vectors in〖... (answered by CPhill)
Q−4: [6+4 marks] Let S={v_1,v_2,v_3} be a linearly independent set of vectors in〖... (answered by CPhill)
Use the vectors u = <-3, 4> and v = <2, 1>. 3u • v =... (answered by Alan3354)