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A unit vector in the direction of the sum of the vectors and is:
A unit vector in the direction of the sum of the vectors $2\hat{i} + 3\hat{j} - \hat{k}$ and $4\hat{i} - 3\hat{j} + 2\hat{k}$ is:
- a$\frac{6\hat{i} - \hat{k}}{\sqrt{37}}$
- b$\frac{6\hat{i} + 6\hat{j} - \hat{k}}{\sqrt{73}}$
- c$\frac{6\hat{i} + \hat{k}}{\sqrt{37}}$
- d$\frac{2\hat{i} + 2\hat{j} - \hat{k}}{\sqrt{37}}$
Answer
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From ISC 2026 Improvement Mathematics Paper 1, question 15(ii).