Question

If $\overrightarrow{A} = 2\widehat{i} + 3\widehat{j}$, $\overrightarrow{B} = 5\widehat{i}–6\widehat{j}$ and $\overrightarrow{C} = \overrightarrow{A} + \overrightarrow{B}$, the magnitude of C is –

• A. $\sqrt{58}$units
• B. $\sqrt{61}$units
• C. 4 units
• D. 10 units

Answer 1

Answer: (A)

$\sqrt{58}$units

Answer 2

$\overset{\rightarrow}{C}$ = $\overset{\rightarrow}{A} + \overset{\rightarrow}{B}$ = 7$\widehat{i}$ – 3$\widehat{j}$ ̃ |$\overset{\rightarrow}{C}$ | = $\sqrt{58}$ units