If (\overrightarrow{A}) is parallel to(\overrightarrow{B}),... | PHYSICS - MULTIPLICATION OF VECTORS | SolveeIt

If $\overrightarrow{A}$ is parallel to $\overrightarrow{B}$ , then

$\overrightarrow{A}.(\overrightarrow{A} + \overrightarrow{B}) = A^{2} + AB$

$\overrightarrow{A} \times (\overrightarrow{A} + \overrightarrow{B}) = AB$

$\overrightarrow{A}.\overrightarrow{B} = 0$

$\overrightarrow{A} \times (\overrightarrow{A} \times \overrightarrow{B}) = 9$

Answer

$\overrightarrow{A}.(\overrightarrow{A} + \overrightarrow{B}) = A^{2} + AB$

Explanation

$\overrightarrow{A}$ . $(\overrightarrow{A} + \overrightarrow{B})$

= A² + $\overrightarrow{A}.\overrightarrow{B}$

= A² + AB cos 0⁰

= A² + AB

Question: If \(\overrightarrow{A}\) is parallel to\(\overrightarrow{B}\), then...