find the components of v such that ||v||=5 and the direction angle of v is 45 degrees

Question

can someone answered this question please ?

Answer 1

The magnitude of v is the ||v|| = 5.   The angle is 45 degrees.

 

There is a pair of formulas that you need to memorize to make this go well:

 

x-component = ||v||*cos(angle)

y-component = ||v|| *sin(angle).

 

 

So your x-component = 5*cos(45).

Your y-component = 5 * sin(45).

 

Calculate these and put them in the notation 

 

<x-coord, y-coord>