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Properties of Iota

If a,b,c ar...

Question

If $a, b, c$ are three vectors such that $[a b c] = 5$ , then the value of $[a \times b b \times c c \times a]$ is

A

15

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B

25

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C

20

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D

10

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Solution

The correct option is B $25$
Given
$[a b c] = 5$
we know that $[a \times b b \times c c \times a] = {[a b c]}^{2}$
$∴ [a \times b b \times c c \times a] = {(5)}^{2} = 25$

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Similar questions

\to a, \to b, \to c

be three vectors such that

[\begin{matrix} \to a & \to b & \to c \end{matrix}] = 4

[\begin{matrix} \to a \times \to b & \to b \times \to c & \to c \times \to a \end{matrix}]

\to a, \to b, \to c

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[\to a \to b \to c] = 4

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