First slide

Vectors

Question

If a unit vector is represented by $0 .5 \hat{i} + 0 .8 \hat{j} + c \hat{k}$ , then the value of ‘c’ is

Moderate

A

1
B

$\sqrt{0.11}$
C

$\sqrt{0.01}$
D

$\sqrt{0.39}$

Solution

Magnitude of unit vector = 1
$\Rightarrow \sqrt{{(0.5)}^{2} + {(0.8)}^{2} + c^{2}} = 1$
By solving we get c = $\sqrt{0.11}$

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