First slide

Vectors

Question

Given $A = 3 \hat{i} + ∣ 4 \hat{j} and B = 6 \hat{i} + 8 \hat{j}$ then which of the following option is correct?

Moderate

A

A x B = 50
B

$\frac{| A |}{∣ B ‖} = \frac{1}{2}$
C

IAI = 15
D

A · IBI=48

Solution

$| A | = \sqrt{9 + 16} = 5 and | B | = \sqrt{36 + 64} = 10$
$\Rightarrow \frac{| A |}{| B |} = \frac{1}{2}$

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