Question

if resultant vector of two vectors of equal magnitude has magnitude equal to one of those vectors, than what should be the angle between two vectors ?
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Answer 1

Answer:

120 degree

Explanation:

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Answer 2

Answer:

The angle between two vectors is 120°.

Explanation:

Given,

The magnitude of both vectors is equal and the magnitude of the resultant vector is also equal to the magnitude of vectors.

Calculations -

$R = \sqrt{A^{2}+B^{2} +2ABcos\alpha }$

$A = \sqrt{A^{2}+A^{2} +2AAcos\alpha }$

$A^{2} = 2A^{2} +2A^{2}cos\alpha$

$A^{2} = 2A^{2} (1+cos\alpha )$

$1+cos\alpha = \frac{1}{2}$

$cos\alpha = -\frac{1}{2}$

$\alpha = 120$

Hence, the angle between the vectors is 120°.

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