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
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