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

1 Answer
Nov 15, 2015

Answer:

#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 .