Q

Help me answer: 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:

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:

• Option 1)

0o

• Option 2)

90o

• Option 3)

45o

• Option 4)

180o

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As we learned in

Triangle law of vector Addition -

If two vector are represented by both magnitude and direction by two sides of triangle taken in same order then their resultant is represented by 3rd side of triangle.

- wherein

Represents triangle law of vector Addition

$\left | \vec{A}-\vec{B} \right |\:=\:\left | \vec{A}+\vec{B} \right |$

$A^{2}+B^{2}-2ABCos\theta \:=\:A^{2}+B^{2}+2ABCos\theta$

$4ABCos\theta \:=\:0$

$Cos\theta\:=\:\frac{0}{4AB}\:=\:0^{\circ}$

Option 1)

0o

This option is incorrect.

Option 2)

90o

This option is correct.

Option 3)

45o

This option is incorrect.

Option 4)

180o

This option is incorrect.

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