Question

Let $\vec{r}, \vec{a}, \vec{b}$ and $\vec{c}$ be four non-zero vectors such that $\vec{r}\cdotp\vec{a} = 0, |\vec{r} \times \vec{b}| = |\vec{r}||\vec{b}|,|\vec{r} \times \vec{c}| = |\vec{r}| |\vec{c}|,$ then find [a b c].
a) |a| |b| |c|
b) -|a| |b| |c|
c) 0
d) None

Answer 1

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Answer 2

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