Multiplication of Vectors

The angle between the vectors : $\overrightarrow{a}=3 \hat{i}-4\hat{j}$ and $\overrightarrow{b}=-2\hat{i}+3\hat{k}$ is

Two given vectors are parallel if:

The scalar product of two vectors can be:

The projection of a vector $\overrightarrow{A}=2\hat{i}+3\hat{j}$ on the vector $\overrightarrow{B}= \hat{i}+\hat{j}$ is:

If two vectors $2\hat{\mathrm{i}}+3\hat{\mathrm{j}}-\hat{\mathrm{k}}$ and $-4\hat{\mathrm{i}}-6\hat{\mathrm{j}}-\mathrm{\lambda }\hat{\mathrm{k}}$ are parallel, then find the value of $\mathrm{\lambda }$.

A vector $\overrightarrow{A}$ points vertically upward and $\overrightarrow{B}$ points towards north. The vector product $\overrightarrow{A}\times \overrightarrow{B}$ is

If $\left|{\overrightarrow{V}}_1+{\overrightarrow{V}}_2\right|=\left|{\overrightarrow{V}}_1-{\overrightarrow{V}}_2\right|$ and ${\overrightarrow{V}}_2$ is finite, then

$\overrightarrow{\mathrm{A}}$ and $\overrightarrow{\mathrm{B}}$ are the two vectors such that the ratio of their dot product to the magnitude of their cross product is $\frac{1}{\sqrt{3}}$. Then the angle between $\overrightarrow{\mathrm{A}}$ and $\overrightarrow{\mathrm{B}}$ is

If $\left|\overrightarrow{A}\times \overrightarrow{B}\right|=\overrightarrow{A}.\overrightarrow{B}$, then the angle between $\overrightarrow{A}$ and $\overrightarrow{B}$ is:

If $\overrightarrow{A}=2\hat{\mathrm{i}}+3\hat{\mathrm{j}}+8\hat{\mathrm{k}}$ is perpendicular to $\overrightarrow{B}=4\hat{\mathrm{j}}-4\hat{\mathrm{i}}+\alpha \hat{\mathrm{k}},$ then the value of $\alpha$ is

Two vectors $\overrightarrow{a}$ and $\overrightarrow{b}$ are parallel to each other, it means:

Two vectors $\overrightarrow{a}$ and $\overrightarrow{b}$ are perpendicular to each other, it means:

Force $\overrightarrow{\mathrm{F}}$ applied on a body is written as $\overrightarrow{\mathrm{F}}=(\hat{\mathrm{n}}.\hat{\mathrm{F}})\hat{\mathrm{n}}+\overrightarrow{\mathrm{G}},$ where $\hat{\mathrm{n}}$ is a unit vector. The vector $\overrightarrow{\mathrm{G}}$ is equal to

The magnitude of vector product of two unit vectors making an angle 60 with each other

Two vectors $\overrightarrow{a}$ and $\overrightarrow{b}$ are parallel to each other, it means:

Two vectors $\overrightarrow{a}$ and $\overrightarrow{b}$ are perpendicular to each other, it means:

A vector perpendicular to $\hat{i}+\hat{j}+\hat{k}$

Unit vector perpendicular to vector $\overrightarrow{A}=-3\hat{\mathrm{i}}-2\hat{\mathrm{j}}-3\hat{\mathrm{k}}$ and $\overrightarrow{B}=2\hat{\mathrm{i}}+4\hat{\mathrm{j}}+6\hat{\mathrm{k}}$  both is-

If $\overrightarrow{A}\times \overrightarrow{B}=\overrightarrow{C}$, then which of the following statements is wrong?

If $\overrightarrow{\mathrm{A}}+\overrightarrow{\mathrm{B}}=3\hat{\mathrm{j}}$ and $\overrightarrow{\mathrm{A}}-\overrightarrow{\mathrm{B}}=8\hat{\mathrm{i}}-3\hat{\mathrm{j}},$ Find is the angle between vectors: