Question:

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

Updated On: Aug 18, 2024
  • $0^{\circ}$
  • $60^{\circ}$
  • $90^{\circ}$
  • $120^{\circ}$
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The Correct Option is B

Solution and Explanation

If two vectors $| \bar{A} | = | \bar{B} | = x$ then thhe subtraction of them is $S = 2 x $ sin $\left( \frac{\theta}{2} \right)$ . When S is also 'x' $\theta = 60^{\circ}$
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Concepts Used:

Motion in a Plane

It is a vector quantity. A vector quantity is a quantity having both magnitude and direction. Speed is a scalar quantity and it is a quantity having a magnitude only. Motion in a plane is also known as motion in two dimensions. 

Equations of Plane Motion

The equations of motion in a straight line are:

v=u+at

s=ut+½ at2

v2-u2=2as

Where,

  • v = final velocity of the particle
  • u = initial velocity of the particle
  • s = displacement of the particle
  • a = acceleration of the particle
  • t = the time interval in which the particle is in consideration