NEET Chemistry MCQs

A unit vector perpendicular to both $\hat{i} + \hat{j}$ and $\hat{j} + \hat{k}$ 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?

The cross product $\hat{i} imes \hat{j}$ is equal to:

The cross product $\hat{k} imes \hat{i}$ is equal to:

If $\vec{A} = 2\hat{i} + 3\hat{j}$ and $\vec{B} = \hat{i} - 2\hat{j}$, a vector $\vec{C}$ which is perpendicular to both $\vec{A}$ and $\vec{B}$ and has a magnitude of 5 units can be:

If $\vec{A} = 2\hat{i} - \hat{j} + 3\hat{k}$ and $\vec{B} = \hat{i} + 4\hat{j} - 2\hat{k}$, and $\vec{C}$ is a vector perpendicular to both $\vec{A}$ and $\vec{B}$ such that $\vec{C} \cdot (\hat{i} + \hat{j} - \hat{k}) = 3$, find the magnitude of $\vec{C}$.

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