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lost on this problem and dont know what to do

0 votes

Find the magnitude and direction (in degrees) of the vector. (Assume 0° θ < 360°. Round the direction to two decimal places.)

v
image
16, 30
image
|v| =
 
θ =         

 

asked Apr 25, 2016 in PRECALCULUS by anonymous
reshown Apr 25, 2016 by goushi

1 Answer

0 votes

Step 1:

The vector is image.

Find the magnitude.

Magnitude of the vector is image.

Substitute image in the magnitude formula.

image

Magnitude of the vector is image

Step 2:

Find the direction in degrees.

Direction of the vector is image.

Substitute image in the direction formula.

image

Fundamental identity of trigonometric function: image.

image

Direction of the vector is image

Solution:

Magnitude of the vector is image

Direction of the vector is image

answered Apr 25, 2016 by Anney Mentor

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