$\"\"$

\

The scalar triple product of the vectors:

\

The scalar triple product of the points $\"\"$ and $\"\"$ is $\"\"$ or $\"\"$ or $\"\"$ .

\

The scalar triple product of the vectors is zero when the vectors are coplanar.

\

$\"\"$

\

The vectors are $\"\"$ , $\"\"$ and

\

$\"\"$ . \ \

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Find $\"\"$ .

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$\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

$\"\"$ .

\

Find $\"\"$ .

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The vectors are $\"\"$ and $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

Therefore, the vectors are coplanar.

\

$\"\"$

\

The vectors are coplanar.