First slide

Vectors

Question

If a unit vector is represent 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

For a unit vector, $\sqrt{(0.5)^{2} + (0.8)^{2} + c^{2}} = 1$
On solving, we get $c = \sqrt{0.11}$

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