The vector sum of two forces is perpendicular | vedclass

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Question

(a) If two vectors are perpendicular then their dot product must be equal to zero. According to problem

$(\overrightarrow A + \overrightarrow B ).(

Vedclass · Accepted Answer

Are equal to each other in magnitude

Vedclass · Answer

(a) If two vectors are perpendicular then their dot product must be equal to zero. According to problem

$(\overrightarrow A + \overrightarrow B ).(\overrightarrow A - \overrightarrow B ) = 0$

$&rArr;$$\overrightarrow A .\overrightarrow A - \overrightarrow A .\overrightarrow B + \overrightarrow B .\overrightarrow A - \overrightarrow B .\overrightarrow B = 0$

$&rArr;$ ${A^2} - {B^2} = 0$

$&rArr;$ ${A^2} = {B^2}$

$	herefore $ $A = B$ i.e. two vectors are equal to each other in magnitude.

The vector sum of two forces is perpendicular to their vector differences. In that case, the forces

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