If vectors $\vec{A} = (2, -3, 1)$ and $\vec{B} = (3, 4, n)$ are perpendicular to each other,find the value of $n$.

Which of the following statements is true regarding the vector product of two vectors?

Find the angle between the two vectors: $\vec{a}=3 \hat{i}+2 \hat{j}+5 \hat{k}$ and $\vec{b}=5 \hat{i}+3 \hat{j}+\hat{k}$.

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

Two vectors $\vec{P}$ and $\vec{Q}$ are at an angle $\theta$ to each other. Which of the following is a unit vector perpendicular to both $\vec{P}$ and $\vec{Q}$?

Which of the following is the unit vector perpendicular to $\vec{A}$ and $\vec{B}$?