(a+b) (a+b)=|a|^2+|b|^2 if and only if __________ . (a 0, b 0). - Vidyadip

MCQ

$(\vec{a}+\vec{b}) \cdot(\vec{a}+\vec{b})=|\vec{a}|^2+|\vec{b}|^2$ if and only if __________ . $(\vec{a} \neq \overrightarrow{0}, \vec{b} \neq \overrightarrow{0})$.

A
$\vec{a}$ and $\vec{b}$ are not parallel and perpendicular to each other.
✓
$\vec{a}$ and $\vec{b}$ are perpendicular to each other.
C
$\vec{a}$ and $\vec{b}$ are in opposite direction.
D
$\vec{a}$ and $\vec{b}$ are in same direction.

✓

Answer

Correct option: B.

$\vec{a}$ and $\vec{b}$ are perpendicular to each other.

B

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