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Let vec a = hat i + hat j + hat k , vec ...

Let `vec a = hat i + hat j + hat k , vec b = hat i ` and `vec c = c_(1)hat i + c_(2)hat j +c_(3)hat k`. Then if `c_(2) = -1` and `c_(3) = 1`, show that no value of `c_(1)` can make `vec a, vec b` and `vec c` coplanar.

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The correct Answer is:
No value of `c_(1)` makes `[vec a, vec b, vec c] = 0`
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