Question

Can a vector of magnitude zero have non zero components?

Answer 1

No, a vector cannot have zero magnitude if one of its components is not zero.
Consider a vectorsuch that its magnitude is:

It can be seen from this equation that if any of or is non-zero, the magnitude of vector will also be non-zero.

Answer 2

Hii friend,

# Answer- No

# Explaination-
- Magnitude of vector A = xi + yj + zk is given by |A| = √(x^2+y^2+z^2)
- So if any of the component is non-zero magnitude must ne non-zero.(Assuming components are real numbers.)

Conversely, a zero vector must have zero components.
i.e. Z = 0i + 0j + 0k

Hope that was useful...