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Question

Physics Question on Motion in a plane

If subtraction of two vectors is also a unit vector then the angle between the first two vectors is

A

0∘0^{\circ}

B

60∘60^{\circ}

C

90∘90^{\circ}

D

120∘120^{\circ}

Answer

60∘60^{\circ}

Explanation

Solution

If two vectors ∣Aˉ∣=∣Bˉ∣=x| \bar{A} | = | \bar{B} | = x then thhe subtraction of them is S=2xS = 2 x sin (θ2)\left( \frac{\theta}{2} \right) . When S is also 'x' θ=60∘\theta = 60^{\circ}