Question

Give the direction of -6i+5j to the nearest degree

Answer 1

They want you to convert the vector to an angle?

Answer 2

yes

Answer 3

ok

Answer 4

Solve for the angle.

Answer 5

Remember to use degree mode.

Answer 6

ok

Answer 7

just plug in tan 5/-6 into the calc?

Answer 8

you also need to do the inverse tangent.

Answer 9

I get -.8333333333

Answer 10

You have to solve for the angle, so you need to do the inverse tangent.

Answer 11

\[
\tan\theta =\frac{5}{-6} \implies \theta = \tan^{-1}\left(\frac{5}{-6}\right)
\]

Answer 12

dont forget to add 180°

Answer 13

got it! thanks!

Answer 14

will it always be tangent?

Answer 15

Remember SOH CAH TOA, but when it comes to vectors, you're going to use inverse tangent cause you're only dealing with TOA.

Answer 16

well the unit vectors will usually be perpendicular so they will always be the adjacent and opposite sides (never hypotenuse )

Answer 17

ok got it!