NEET Chemistry Structure Of Atom Vector Product (Or) Cross Product MCQs

Two vectors $\vec{A}$ and $\vec{B}$ have magnitudes A and B respectively. If the magnitude of their cross product is $\frac{AB}{\sqrt{2}}$, which of the following could be the angle between $\vec{A}$ and $\vec{B}$?

If $\vec{A} = 2\hat{i} + 3\hat{j} - \hat{k}$ and $\vec{B} = \hat{i} - \hat{j} + 2\hat{k}$, what is the unit vector perpendicular to both $\vec{A}$ and $\vec{B}$?

The area of the parallelogram formed by the vectors $\vec{A} = 3\hat{i} + \hat{j} + 2\hat{k}$ and $\vec{B} = \hat{i} - 2\hat{j} - 4\hat{k}$ is:

If $\vec{A} imes \vec{B} = \vec{C}$, which of the following is always true?

For any two non-zero vectors $\vec{A}$ and $\vec{B}$, if $|\vec{A} imes \vec{B}| = \vec{A} \cdot \vec{B}$, the angle between $\vec{A}$ and $\vec{B}$ is:

If $\vec{A} = \hat{i} + \hat{j}$ and $\vec{B} = \hat{j} + \hat{k}$, then the area of the triangle formed by the vectors $\vec{A}$, $\vec{B}$ and $\vec{A} - \vec{B}$ is:

If two vectors $\vec{A}$ and $\vec{B}$ are parallel to each other, then their cross product $\vec{A} imes \vec{B}$ is:

The vector product of two vectors $\vec{A}$ and $\vec{B}$ has a magnitude of $AB$. What is the angle between them?

Which of the following is true about the direction of the cross product $\vec{A} imes \vec{B}$?

If $\vec{A} imes \vec{B} = \vec{0}$, which of the following is always true?