For any three vectors a, b and c, $[a + b, b + c, c + a]$ is?

Open in App

Solution

We have,
$\begin{matrix} (\to a + \to b) . ((\to b + \to c) \times (\to c + \to a)) (\to a + \to b) . (\to b \times \to c + \to b \times \to a + \to c \times \to a) [\to a \to b \to c] + [\to a \to b \to c] = 2 [\to a \to b \to c] \end{matrix}$

Suggest Corrections

Similar questions

\to a, \to b, \to c, (\to a - \to b) . (\to b - \to c) \times (\to c - \to a) =

\vec{a,} \vec{b} a n d \vec{c}

\vec{a} \times (\vec{b} + \vec{c}) + \vec{b} \times (\vec{c} + \vec{a}) + \vec{c} \times (\vec{a} + \vec{b}) .

\vec{a}, \vec{b}, \vec{c}

\vec{a} . \{(\vec{b} + \vec{c}) \times (\vec{a} + \vec{b} + \vec{c})\}

[b + c c + a a + b] = 2 [a b c]

Join BYJU'S Learning Program