Question

If the magnitude of `v` is 10, and the direction vector is 60°, what is the x component of `v`?

Answer 1

`x = 5`.

Explanation:

I'll suppose the direction of the vector is `60º` above the horizontal. So, we have:
`v = 10`,
`alpha = 60º`.
To find the `x`-component, we simply multiply `v` times the cosine of `alpha`. So,
`x = v * cos(alpha)`,
`x = 10 * cos(60º)`,
`x = 10 * 1/2`,
`x = 5`.

Hope it Helps! :D .