Question

The angle between the two vectors $\overrightarrow{A}=5\hat{i}+5\hat{j},\overrightarrow{B}=5\hat{i}-5\hat{j}$ will be

• A. Zero
• B. ${45}^{°}$
• C. ${90}^{°}$
• D. ${180}^{°}$

Answer 1

The correct option is C

${90}^{°}$

Explanation for the correct option:

We know that if the dot product of two vectors is zero, then the angle between them is ${90}^{°}$

$\begin{array}{rcl}\overrightarrow{A}.\overrightarrow{B}& =& \left(5\hat{i}+5j\right).\left(5\hat{i}-5\hat{j}\right)\\ & =& 25-25\\ & =& 0\end{array}$

Therefore, the angle between the two vectors is ${90}^{°}$

Hence, the correct option is C.