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Multiplication with Vectors

a . b = b . c...

Question

$\to a . \to b = \to b . \to c = \to c . \to a = 0$ and $| \to a | = x, | \to b | = y, | \to c | = z$ Then the volume of the parallelepiped whose three coterminous edges are $\to a, \to b, \to c,$ is_

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Solution

$\to a . \to b = \to b . \to c = \to c . \to a = 0$
$\Rightarrow a ⊥ b ⊥ C .$
Volume $= a \times b + c$
$= x y z$

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