If the four points, whose position vectors are 3i - 4j + 2k, i + 2j - k, -2i - j + 3k

Question

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 α is equal to

(1) \(\frac{73}{17}\)

(2) \(- \frac{107}{17}\)

(3) \(-\frac{73}{17}\)

(4) \(\frac{107}{17}\)

Answer 1

Correct option is (1) \(\frac{73}{17}\)