Question

Consider a vector $\overrightarrow{F}=4\hat{i}-3\hat{j}$. Another vector that is perpendicular to $\overrightarrow{F}$ is :

• A. $4\hat{i}+3\hat{j}$
• B. $7\hat{k}$
• C. $3\hat{i}-4\hat{j}$
• D. $6\hat{i}$

Answer 1

Answer: (B)

$7\hat{k}$

If dot product of a vector with $\overrightarrow{F}$ is zero, then the vector is perpendicular to $\overrightarrow{F}$.

Here only $\overrightarrow{F}.7\hat{k}=0$ so the option B will correct.