Question

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

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

Answer 1

The correct option is B $7\hat{k}$

Given,
$\overrightarrow{F}=4\hat{i}-3\hat{j}$
Let another vector is $\overrightarrow{A}$.
It is given that, $\overrightarrow{F}$ is perpendicular to $\overrightarrow{A}$.
Since force $\overrightarrow{F}$ lies in the $x-y$ plane so, a vector along $z$-axis will be perpendicular to $\overrightarrow{F}$.
Which is only in option (c).

Final answer: (c).