બે બળોના nbsp;સરવાળાનો પરિણામી સદિશ, તેન

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