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Let $\mathbf{a}, \mathbf{b}$ and $\mathbf{c}$ be three vectors. Then scalar triple product $[\mathbf{a} \mathbf{b} \mathbf{c}]$ is equal to
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Verified Answer
The correct answer is:
$\left[\begin{array}{lll}\mathbf{b} & \mathbf{c} & \mathbf{a}\end{array}\right]$
From the properties of the scalar triple product:
$\Rightarrow [\mathbf{a b c}]=-[\mathbf{b a c}]$
$\Rightarrow [\mathbf{a b c}]=-[\mathbf{a c b}]$
$\Rightarrow [\mathbf{a b c}]=[\mathbf{b c a}]$
$\Rightarrow [\mathbf{a b c}]=-[\mathbf{c b a}]$
The correct option that equals $[\mathbf{a b c}]$ is:[bca]
$\Rightarrow [\mathbf{a b c}]=-[\mathbf{b a c}]$
$\Rightarrow [\mathbf{a b c}]=-[\mathbf{a c b}]$
$\Rightarrow [\mathbf{a b c}]=[\mathbf{b c a}]$
$\Rightarrow [\mathbf{a b c}]=-[\mathbf{c b a}]$
The correct option that equals $[\mathbf{a b c}]$ is:[bca]
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