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If vecA=hati+2hatj-3hatk, vecB=3hati-hat...

If `vecA=hati+2hatj-3hatk, vecB=3hati-hatj+hatk` and `vecC=hati+hatj-uhatk` find n for the vectors to be coplanar.

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Using `vecC=pvecA+qvecB`, substitutin `vecA,vecB,` and `vecC` We have `p(hati+2hatj-3hatk)+q(3hati-hatj+hatk)=hati+hatj-ahatk`.
Comparing the coefficients of `hati, hatj` and `hatk` we have `p+3q=1,2p-q=1` and `-3p+q=-n` solving first two equations we have `p=4/7` and `q=1/7`. Substituting p and q in third equation we have `n=11/7`.
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