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Let vec(a)=hat(i)+hat(j)+hat(k),vec(b)=h...

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)`.
If `c_(2)=-1` and `c_(3)=1`, then show that no value of `c_(1)` can make `vec(a),vec(b)` and `vec(c )` coplanar.

Text Solution

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The correct Answer is:
`c_(1)`
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