Question

A vector has a magnitude of 9 and points directly in the +x direction. What are its x and y components?

a) x = 0, y = 9
b) x = 9, y = 0
c) x = 9, y = 9
d) x = 0, y = 0

Answer 1

The vector with a magnitude of 9 pointing in the +x direction has an x-component of 9 and a y-component of 0.

Step-by-step explanation:

The given vector has a magnitude of 9 and is specified to point directly in the +x direction. The components of a vector can be found by projecting the vector onto the respective axes. Since the vector is only in the +x direction, it has no y-component, meaning its y-component is 0. Therefore, the x-component of the vector is equal to the magnitude of the vector, which is 9, and the y-component is 0. The correct answer is x = 9, y = 0.