Question

Find the angle between the given vectors to the nearest tenth of a degree. u = <8, 4>, v = <9, -9>

Answer 1

81.6°

25.8°

35.8°

71.6°

Answer 2

@VeritasVosLiberabit

Answer 3

so this one may be nice to draw.

Answer 4

how should i do that?

Answer 5

You first draw each vector. both vector tails should start from the origin on a cartesian coordinate system.

example:

Answer 6

hmmm alright what's next

Answer 7

could you show me?

Answer 8

actually nevermind you can just find the angle between each vector by using the tangent

Answer 9

here is an example:

\[\tan(\theta)=\frac{ x }{ y }\]
\[\theta=\tan ^{-1}(\frac{ x }{ y })\]

Answer 10

oh alright

Answer 11

This is for one vector. Once you have found the angle for one vector do it for the other and add both angles

Answer 12

im not really sure how to do this though, could u show me with my problem?

Answer 13

sure

Answer 14

thanks

Answer 15

alright but how do i figure out the angles?

Answer 16

you know the x and y components for the vectors so use those when you find the relationship with the angle for example:

Answer 17

use this for the first vector, and now you try to find the second angle

Answer 18

and remember \[\theta=\tan ^{-1}(\frac{ x }{ y })\]