Question

The component of vector $A = 2\widehat{i} + 3\widehat{j}$along the vector $\widehat{i} + \widehat{j}$is-

• A. $\frac{5}{\sqrt{2}}$
• B. $10\sqrt{2}$
• C. $5\sqrt{2}$
• D. 5

Answer 1

Answer: (A)

$\frac{5}{\sqrt{2}}$

Answer 2

$\frac{\overset{\rightarrow}{A}.\overset{\rightarrow}{B}}{|\overrightarrow{i} + \overrightarrow{j}|} = \frac{(2\widehat{i} + 3\widehat{j})(\widehat{i} + \widehat{j})}{\sqrt{2}} = \frac{2 + 3}{\sqrt{2}} = \frac{5}{\sqrt{2}}$