‹ Back to the paper
Choose the correct option.
For vector c⃗, c⃗ · î = c⃗ · ĵ = c⃗ · k̂ and |c⃗| = 300. Then c⃗ is equal to:
For vector $\vec{c}$, $\vec{c} \cdot \hat{i} = \vec{c} \cdot \hat{j} = \vec{c} \cdot \hat{k}$ and $|\vec{c}| = 300$. Then $\vec{c}$ is equal to:
- a$10\sqrt{3}(\hat{i} + \hat{j} + \hat{k})$
- b$\frac{100}{\sqrt{3}}(\hat{i} + \hat{j} + \hat{k})$
- c$\frac{10}{\sqrt{3}}(\hat{i} + \hat{j} + \hat{k})$
- d$100\sqrt{3}(\hat{i} + \hat{j} + \hat{k})$
Answer
Answer
Correct option: d
Answer: (d) $100\sqrt{3}(\hat{i} + \hat{j} + \hat{k})$
Equal components: $\vec{c} = \lambda(\hat{i} + \hat{j} + \hat{k})$ with $\lambda\sqrt{3} = 300$, so $\lambda = 100\sqrt{3}$.