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For vector , and . Then is equal to:
For vector $\vec{a}$, $\vec{a} \cdot \hat{i} = \vec{a} \cdot \hat{j} = \vec{a} \cdot \hat{k}$ and $|\vec{a}| = 300$. Then $\vec{a}$ is equal to:
- a$10\sqrt{3}(\hat{i} + \hat{j} + \hat{k})$
- b$\frac{\hat{i} + \hat{j} + \hat{k}}{\sqrt{3}}$
- c$\frac{100}{\sqrt{3}}(\hat{i} + \hat{j} + \hat{k})$
- d$100\sqrt{3}(\hat{i} + \hat{j} + \hat{k})$
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From ISC 2026 Improvement Mathematics Paper 1, question 15(iii).