Question

the magnitude of the resultant of two vectors is minimum when the angle is

Answer 1

The resultant of two vector is minimum when both vectors are equal and in opposite direction i.e. the angle between the vector is 180 degrees.

Therefore they cancel each other out, so the magnitude of the resultant vector is zero

Answer 2

The resultant of the two vectors is minimum when the angle is 180°.

Given,

The resultant of two vectors is minimum

To Find,

The angle between the two vectors

Solution,

The resultant R of two vectors is given by:

R = √(A² + B² + 2ABcosθ)

This is minimum when cosθ is minimum, i.e., cosθ = -1

This is when θ = 180°.

Hence, the angle between the two vectors is 180°.

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