First slide

Vectors

Question

Component of the vector $A = 2 \hat{i} + 3 \hat{j}$ along the vector $B = (\hat{i} + \hat{j})$ ) is

Moderate

A

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

$4 \sqrt{2}$
C

$\frac{\sqrt{2}}{3}$
D

None of these

Solution

Component of A along B = A cos $θ$ = $\frac{A \cdot B}{B} = \frac{2 + 3}{\sqrt{1 + 1}} = \frac{5}{\sqrt{2}}$

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