Question

If $\overrightarrow{A}$ and $\overrightarrow{B}$ two different physical quantities, Which of the following mathematical operations is/are valid.

• A. $\overrightarrow{A}$ + $\overrightarrow{B}$
• B. $\overrightarrow{A}.\overrightarrow{B}$
• C. $\overrightarrow{A}\times \overrightarrow{B}$
• D. Both and (b) and (c)

Answer 1

The correct option is D Both and (b) and (c)

Since $\overrightarrow{A}$ and $\overrightarrow{B}$ are different physical quantity, thus their unit will be different, only those quantity can be added or subtracted with each other if their units are same.

So, $\overrightarrow{A}+\overrightarrow{B}$ has no and $\overrightarrow{A}\times \overrightarrow{B}$ physical significance were $\overrightarrow{A}.\overrightarrow{B}$ and $\overrightarrow{A}\times \overrightarrow{B}$are valid as they are the product operation

Option $D$ is correct.