Question

Given: $\overrightarrow{A} = 2\widehat{i} + 3\widehat{j}$ and $\overrightarrow{B} = 5\widehat{i} - 6\widehat{j}$. The magnitude of $\overrightarrow{A} + \overrightarrow{B}$ is -

• A. (a) 4 units
• A. (b) 10 units
• A. (c)$\sqrt{58}$ units
• A. (d)$\sqrt{61}$ units

Answer 1

(c)

$\overrightarrow{A} + \overrightarrow{B}$ = $7\widehat{i} - 3\widehat{j}$

|$\overrightarrow{A} + \overrightarrow{B}$| = $\sqrt{49 + 9}$ = $\sqrt{58}$