Question

If $\overrightarrow{A}$ and $\overrightarrow{B}$ are two unit vectors and the angle between them is ${90}^o$. Then $\frac{1-\overrightarrow{A}.\overrightarrow{B}}{1+\overrightarrow{A}.\overrightarrow{B}}is$

• A. 1
• B. 2
• C. 0
• D. 3

Answer 1

The correct option is A 1

$\overline{A}\cdot \overline{B}=\left|A\right|\left|B\right|1\cos {90}^{\circ }$

$=0$

So , $\frac{1-\overline{A}\cdot \overline{B}}{1+\overline{A}\cdot \overline{B}}=\frac{1-0}{1+0}$

$=1$