Question

Need to find the direction angle for each vector. #10 and #12 please!

Answer 1

10) - 45 degrees

12) 0 degrees

Explanation:

10)

Find the x and y components that define the vector that joins C with D:

x-component: -4 - (-8) = - 4 + 8 = 4

y-component: 4 - 8 = -4

use the tangent function to find the angle
`\theta`:

`tan(\theta)=(y-comp)/(x-comp)=(-4)/(4) = -1\\\theta = -45^o`

12)

Find the x and y components that define the vector that joins A with B:

x-component: 7 - 4 = 3

y-component: - 1 - (-1) = -1 + 1 = 0

use the tangent function to find the angle
`\theta`:

`tan(\theta)=(y-comp)/(x-comp)=(0)/(3) = 0\\\theta = 0^o`