A vector vecA is along the positive z -axis and its vector product with another vector vecB is zero, then vector vecB could be

Question

A vector vecA is along the positive z -axis and its vector product with another vector vecB is zero, then vector vecB could be (A)  hati+ hatj (B) 4 hati (C)  hatj+ hatk (D) -7 hatk

Tardigrade Admin · Accepted Answer

The vector product of two non-zero vectors is zero if they are in the same direction or in the opposite direction. Hence vector vecB must be parallel or antiparallel to vector vecA, i.e. along ± z -axis.

Q. A vector $A$ is along the positive $z$ -axis and its vector product with another vector $B$ is zero, then vector $B$ could be

$\hat{i} + \hat{j}$

$4 \hat{i}$

$\hat{j} + \hat{k}$

$- 7 \hat{k}$

The vector product of two non-zero vectors is zero if they are in the same direction or in the opposite direction. Hence vector $B$ must be parallel or antiparallel to vector $A,$ i.e. along $\pm z$ -axis.

Q. A vector A is along the positive z -axis and its vector product with another vector B is zero, then vector B could be

i^+j^​

4i^

j^​+k^

−7k^