Question

If two vectors $\overrightarrow{A}$ & $\overrightarrow{B}$ are given, then which of the following option is $\text{incorrect}$?

• A. Projection of $\overrightarrow{B}$ on $\overrightarrow{A}=\frac{AB\cos \theta }{A}$
• B. Projection of $\overrightarrow{B}$ on $\overrightarrow{A}=B\cos \theta$
• C. Projection of $\overrightarrow{A}$ on $\overrightarrow{B}=B\cos \theta$
• D. Projection of $\overrightarrow{A}$ on $\overrightarrow{B}=A\cos \theta$

Answer 1

The correct option is C Projection of $\overrightarrow{A}$ on $\overrightarrow{B}=B\cos \theta$

As we know,

Projection of $\overrightarrow{A}$ on $\overrightarrow{B}=A\cos \theta$
&
Projection of $\overrightarrow{B}$ on $\overrightarrow{A}=B\cos \theta$

Hence, option $\left(\text{C}\right)$ is incorrect.