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Q.

If a unit vector is represented by $0.5 \hat{i} + 0.8 \hat{j} + c \hat{k}$ , the value of c is

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a

$0.39$

b

1

c

$\sqrt{0.11}$

d

$\sqrt{0.01}$

answer is B.

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Detailed Solution

$\sqrt{{(0.5)}^{2} + {(0.8)}^{2} + c^{2}} = 1 0.25 + 0.64 + C^{2} = 1 C^{2} = 1 - 0.89 = 0.11$

$\Rightarrow C = \sqrt{0.11}$

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