If angle between hat a and hat b is 60^o , then which of following vector (s) have magnit

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3-1.Vectors

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If the angle between $\hat a$ and $\hat b$ is $60^o$, then which of the following vector $(s)$ have magnitude one

$(A)$ $\frac{\hat a + \hat b}{\sqrt 3}$ $(B)$ $\hat a + \widehat b$ $(C)$ $\hat a$ $(D)$ $\hat b$

A

Only $C,D$

B

Only $B,C,D$

C

Only $A,C,D$

D

All

Solution

$|\hat{\mathrm{a}}+\hat{\mathrm{b}}|=\sqrt{1^{2}+1^{2}+2 \times 1 \times 1 \times \cos 60^{\circ}}=\sqrt{3}$

Standard 11

Physics

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