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Choose the correct option.
If the vectors and are collinear, then
If the vectors $a\hat{i} + 3\hat{j} - 2\hat{k}$ and $3\hat{i} - 4\hat{j} + b\hat{k}$ are collinear, then $(a, b) =$
- (a)$\left(\frac{9}{4}, \frac{8}{3}\right)$
- (b)$\left(-\frac{9}{4}, \frac{8}{3}\right)$
- (c)$\left(\frac{9}{4}, -\frac{8}{3}\right)$
- (d)$\left(-\frac{9}{4}, -\frac{8}{3}\right)$
Answer
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From ISC 2021 Specimen Mathematics Paper 1, question 15(i).
Check your working with the 3D geometry and vectors calculator: points, vectors, lines and planes: distances, angles, foot and image, shortest distance, intersections.