Find the component form of v given its magnitude and the angle it makes with the positive x-axis.

Question

Magnitude of v= 2
Angle= v in the direction i+3j

Answer 1

so the direction vector is

(i+3j)/sqrt10

The i component of
2@directionabove= 2/sqrt10
and the y component is
1*3/sqrt10

Answer 2

Thanks!

I have a question: Is the length of a vector the same thing as its magnitude?

Answer 3

yes

Answer 4

and I see I have a typo on the y component

y component= 2*3/sqrt10