First slide

Scalars and 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

Easy

A

1
B

$\sqrt{0.11}$
C

$\sqrt{0.01}$
D

$\sqrt{0.39}$

Solution

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

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