Motion in A Plane - NEET Questions Physics

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Q 1 :

If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vectors, the angle between these vectors is [2016]

$45 °$
$180 °$
$0 °$
$90 °$

(4)

Let the two vectors be $\vec{A}$ and $\vec{B}$ .

Then, magnitude of sum of $\vec{A}$ and $\vec{B},$ $| \vec{A} + \vec{B} |$ $= \sqrt{A^{2} + B^{2} + 2 A B \cos θ}$

and magnitude of difference of $\vec{A}$ and $\vec{B}$

$| \vec{A} - \vec{B} |$ $= \sqrt{A^{2} + B^{2} - 2 A B \cos θ}, | \vec{A} + \vec{B} | = | \vec{A} - \vec{B} | (given)$

or $\sqrt{A^{2} + B^{2} + 2 A B \cos θ} = \sqrt{A^{2} + B^{2} - 2 A B \cos θ}$

$\Rightarrow 4 A B \cos θ = 0$ $∵$ $4 A B \neq 0,$ $∴$ $\cos θ = 0 or θ = 90 °$

Topic Question Set

Q 1 :

If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vectors, the angle between these vectors is [2016]

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Topic Question Set

Q 1 : If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vectors, the angle between these vectors is [2016]

Want Us to Email you About Special Offers & Updates?

Q 1 :

If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vectors, the angle between these vectors is [2016]