Let \(\mathbf{p}, \mathbf{q}\) and \(\mathbf{r}\) be such that \(\mathbf{r} \neq \mathbf{0}, \mathbf{p}…
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
Solution
According to the given conditions (i) and (ii) both are correct.