Question

If the angle between two to forces increases , the magnitude of their resultant

Answer 1

Hi...

Resultant of two vectors A & B is calculated as sqrt.(A2 +B2+2ABcos(theta)) where theta is angle between them. As theta increses from 0 to 180, cos(theta) varies from 1 to -1. So magnitude decreses with increase in angle between them...

Hope this helps u!!

Answer 2

Answer:

The resultant is defined as the vector sum of two or more vectors and the magnitude of resultant means sum of vectors without including the direction of the force.

Explanation:

The magnitude of the resultant decreases with the increase in the angle between two forces until they are 180 degrees apart.

Consider A & B are two vectors, their resultant will be                                

√A2 + B2 + 2ABcos (Ф), where Ф is the angle between A & B. If Ф (theta) increases from 0 to 180, cos(theta) varies from 1 to -1 and the magnitude decreases.

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