Question

The component of a vector may be ______.

Options

• equal to its magnitude.

• double its magnitude.

• greater than its magnitude.

• either greater or equal to its magnitude.

Answer 1

The component of a vector may be either greater or equal to its magnitude.

Explanation:

A component of a vector is A cos ⁡θ or A sin⁡ θ, for angles between 0° and 90°, these values are ≤ magnitude, but a component along an oblique axis can exceed the magnitude, so it can be equal to or greater than the magnitude.