Question

REWARD MEDAL AND BECOME A FAN!
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
If v1 = (2,-5) and v2 = (4,-3), then the angle between the two vectors is _________. Round your answer to two decimal places.
(I think its 22)

Answer 1

I think drawing it out will help

Answer 2

Since each point form a right angle triangle with the origin and the x-axis, we can find out the length (x) by using pythagoreon theorem

Answer 3

Thanks a visual helps so much, but am I correct would it be 22?

Answer 4

I am doing the question as I'm typing so i have not got an answer yet

Answer 5

sorry

Answer 6

Oh its okay but what would be the next step into solving it I REALLY want to learn how to solve it in case I get more questions like this so if you sony ming can you explain step by step

Answer 7

well, i just figured out an easier way to do it

Answer 8

lol i forgot he please at the end (:

Answer 9

the angle you're trying to find can be found by doing a-b. can you see it?

Answer 10

Yes i do right in the corner right ?

Answer 11

yup, the top left... now we can find and 'a' and 'b' individually by using the formula
\[\tan \theta = \frac{ opposite }{ adjacent }\] where opposite is the side oppsite to an angle and adjacent is the side touching both the angle and the 90 degree

Answer 12

so to find a, we do \[\tan a = \frac{ 5 }{ 2 }\]

Answer 13

\[a=\tan^{-1} \frac{ 5 }{ 2 }\]

Answer 14

Oh okay I see I got -0.74702229723