Question

Vector V is in standard position and makes an angle of 50° with the positive x-axis. Its magnitude is 15. Write V in component form a, b and in vector component form ai bj. (Round each answer to one decimal place.

Answer 1

a=9.641, b=11.49

Vector will be 9.641 i + 11.49 j

Explanation:

We have given that vector V has the magnitude of 15

And it makes an angle of 50
`^(\circ)` with positive x axis

Now let the x component of vector V is a and y component of vector V is b

So
`a=Vcos\Theta =15* cos50^(\circ)=9.641`

`b=Vsin\Theta =15* sin50^(\circ)=11.49`

In vector form 9.641 i+11.49 j