If $\vec A.\vec B = \sqrt 3 \left| {\vec A imes \vec B} \right|$ then angle between $\vec A$ and $\vec B$ will be

Angle between ${\rm{\vec A}}\,and\,{\rm{\vec B}}\,\,is\,heta$ What is the value of ${\rm{\vec A}}.\left( {{\rm{\vec B}} imes {\rm{\vec A}}} \right)?$

A vector with zero magnitude is called a:

Which of the following is NOT a characteristic of a null vector?

Two vectors are equal if they have the same:

Identify the vector quantity among the following

If $\vec{A}$ and $\vec{B}$ are two non-zero vectors such that $|\vec{A} + \vec{B}| = |\vec{A} - \vec{B}|$, which of the following must be true?

Given ${\rm{\vec c}} = {\rm{\vec a}} imes {\rm{\vec b}}$. The angle which ${\rm{\vec a}}$ makes with ${\rm{\vec c}}$ is

Given ${\rm{\vec A}} = 4\hat i + 6\hat j\,and\,{\rm{\vec B}} = 2\hat i + 3\hat j$. Which of the following is correct?

If ${\rm{\vec A}}\,and\,\overrightarrow B$ denote the sides of a parallelogram and its area is $\frac{1}{2}AB$(A and B are the magnitude of ${\rm{\vec A}}\,and\,\overrightarrow B$ respectively), the angle between ${\rm{\vec A}}\,and\,\overrightarrow B$ is

The magnitude of the vectors product o two vectors is $\sqrt 3$ times their scalar product. The angle between the two vectors is