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If three points A, B and C have position vectors  \(\hat i+\text x \hat j+3\hat k,\,\,3\hat i+4\hat j+7\hat k\)  and   \(y\hat i-2\hat j-5\hat k\)respectively are collinear, then (x, y) = 

A. (2, –3)

B. (–2, 3)

C. (–2, –3)

D. (2, 3)

1 Answer

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Best answer

Correct option is A. (2, –3)

\(\because\) the given vectors are collinear.

After comparing the equations,

4 – x = 2

x = 4 – 2

x = 2 (x,  y) = (2, -3)

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