The angle between vectors $(\overrightarrow {A} \times \overrightarrow {B})$ and $(\overrightarrow {B} \times \overrightarrow {A})$ is

Explain the geometrical interpretation of the scalar product of two vectors.

Why is $\vec{v} \times \vec{p} = 0$ for a particle moving in a straight line,and how does this relate to the angular momentum of a rotating particle?

What happens to the direction and magnitude of a vector when it is multiplied by a positive and a negative scalar $\lambda$?

If the relationship between three vectors is $\vec{A} \cdot \vec{B} = 0$ and $\vec{A} \cdot \vec{C} = 0$,then $\vec{A}$ is parallel to:

If $|\overrightarrow A \times \overrightarrow B | = |\overrightarrow A \cdot \overrightarrow B |$,then the angle between $\overrightarrow A$ and $\overrightarrow B$ will be ........ $^o$.