Let $\mathbf{p}, \mathbf{q}$ and $\mathbf{r}$ be such that $\mathbf{r} \neq \mathbf{0}, \mathbf{p} \times \mathbf{q}=\mathbf{r}, \mathbf{q} \times \mathbf{p}$, then (i) $\mathbf{p}, \mathbf{q}, \mathbf{r}$ are pair-wise orthogonal vectors (ii) $|\mathbf{q}|=|\mathbf{r}|=|\mathbf{p}|$

Question

Let $\mathbf{p}, \mathbf{q}$ and $\mathbf{r}$ be such that $\mathbf{r} \neq \mathbf{0}, \mathbf{p} \times \mathbf{q}=\mathbf{r}, \mathbf{q} \times \mathbf{p}$, then (i) $\mathbf{p}, \mathbf{q}, \mathbf{r}$ are pair-wise orthogonal vectors (ii) $|\mathbf{q}|=|\mathbf{r}|=|\mathbf{p}|$, (i) is correct, (ii) is incorrect, (i) is incorrect, (ii) is correct, Both (i) and (ii) are incorrect, Both (i) and (ii) are correct

MARKS App · Accepted Answer

According to the given conditions (i) and (ii) both are correct.

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