If a and b are mutually perpendicular vectors, then (a + b)^2 = - Vidyadip

MCQ

If $a$ and $ b$ are mutually perpendicular vectors, then ${(a + b)^2} = $

A
$a + b$
B
$a - b$
C
$a^2 -b^2$
✓
${(a - b)^2}$

✓

Answer

Correct option: D.

${(a - b)^2}$

d
(d) It is obvious, since $a\,.\,b = 0.$

Hence ${(a + b)^2} = {a^2} + {b^2} = {(a - b)^2}.$

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