Find all such that the vectors

are linearly dependent.

The vectors are linearly dependent if and only if the scalar triple product

So, we compute

So, the vectors are dependent for all such that . Thus the vectors are dependent for

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Stumbling Robot

A Fraction of a Dot
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Find all values of *t* so that *(1,t,1), (t,1,0), (0,1,t)* are dependent

Find all such that the vectors

are linearly dependent.

The vectors are linearly dependent if and only if the scalar triple product

So, we compute

So, the vectors are dependent for all such that . Thus the vectors are dependent for