Question

For the resultant of the two vectors to be maximum, what must be the angle between them

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Answer 1

Answer:

The angle should be 0°.

Explanation:

Let A and B be two vectors such that A and b have different magnitude but are in equal direction or parallel to each other then the angle between them is 0°.

And we know that Resultants of two vectors is given by :-

$\boxed{\sf{</strong><strong>R</strong><strong> </strong><strong>=</strong><strong> \sqrt{ {a}^{2} + {b}^{2} + 2ab \:cos \alpha } </strong><strong> </strong><strong>}}$

where $\</strong><strong>\alpha </strong><strong>$ is angle between two vectors.

We know that cos 0° = 1 is maximum on all cos angle.

Therefore, The resultants of two vectors is maximum when the angle between them is 0.

or,

Either they are parallel to each other.

Answer 2

Answer:

the angle between them is 0°