Question 1
What is the formula for the magnitude of the cross product of two vectors $\mathbf{a}$ and $\mathbf{b}$?
Question 2
Using the right-hand rule, how can you determine the direction of the cross product $\mathbf{a} \times \mathbf{b}$?
Question 3
What does the scalar triple product $a \cdot (b \times c)$ represent?
Question 4
If the scalar triple product $\mathbf{a} \cdot (\mathbf{b} \times \mathbf{c})$ equals zero, what can be inferred about the vectors?
Question 5
What is the geometric interpretation of the magnitude of the cross product $\mathbf{a} \times \mathbf{b}$?
