Question

For what angle of a vector is it possible that its magnitude

will be equal to its y-component? Explain
A) θ=0⁰
B) θ=45⁰
C) θ=60⁰
D) θ=90⁰

Answer 1

The angle of a vector must be 90 degrees in order for its magnitude to be equal to its y-component.

Step-by-step explanation:

In order for the magnitude of a vector to be equal to its y-component, the angle of the vector must be 90 degrees. This is because the y-component of a vector is equal to the magnitude of the vector multiplied by the sine of the angle. So, if the magnitude is equal to the y-component, then the sine of the angle must be 1, which occurs when the angle is 90 degrees.