Question

Magnitude of vector which comes on addition of two vectors, $6\hat{i}+7\hat{j}$ and $3\hat{i}+4\hat{j}$ is

• A. $\sqrt{136}$
  
• B. $\sqrt{13.2}$
  
• C. $\sqrt{202}$
  
• D. $\sqrt{160}$

Answer 1

The correct option is C

$\sqrt{202}$

$\overrightarrow{R}=\overrightarrow{A}+\overrightarrow{B}=6\hat{i}+7\hat{j}+3\hat{i}+4\hat{j}=9\hat{i}+11\hat{j}\therefore |\overrightarrow{R}|=\sqrt{9^2+{11}^2}=\sqrt{81+121}=\sqrt{202}$