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If the four points, whose position vectors are \(3\hat{i}−4\hat{j}+2\hat{k},\hat{i}+2\hat{j}−\hat{k},−2\hat{i}−\hat{j}+3…

Q1
PYQ

If the four points, whose position vectors are

\(3\hat{i}−4\hat{j}+2\hat{k},\hat{i}+2\hat{j}−\hat{k},−2\hat{i}−\hat{j}+3\hat{k}\) and \(5\hat{i}−2\alpha \hat{j}+4\hat{k}\) are coplanar, then \(\alpha\) is equal to

a

\(\frac{73}{17}\)

b

\(−\frac{107}{17}\)

c

\(-\frac{73}{17}\)

d

\(\frac{107}{17}\)

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