# Find the magnitude and direction angle of v=7(cos140i+sin140j. Show your work?

##### 1 Answer

Apr 6, 2018

Magnitude = 7

thetha = -40 degrees, since the x component it negative it will be 40 degrees north of west

#### Explanation:

To find the magnitude, use the Pythagorean theorem

||v||=7

To find the direction, use inverse tan on the component form

thetha = -40 degrees, since the x component it negative it will be 40 degrees north of west