Question:

What can be the angle between $\vec{P}+\vec{Q}$ and $\vec{P}-\vec{Q}$ ?

Updated On: Jul 5, 2022
  • $0^{\circ}$
  • $90^{\circ}$
  • $180^{\circ}$
  • between $0^{\circ}$ and $180^{\circ}$
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The Correct Option is D

Solution and Explanation

$\vec{P}+\vec{Q}$ and $\vec{P}-\vec{Q}$ are diagonals of a parallelogram whose sides are $\vec{P}$ and $\vec{Q}$ . Thus the angle between them may be between$ 0^{\circ}$ and $180^{\circ}$
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Questions Asked in AIIMS exam

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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