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

Given that A and B are greater than 1. The magnitude of $\left( {{\rm{\vec A}} imes {\rm{\vec B}}} \right)$ can not be

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

Two vectors ${\rm{\vec A}}\,and\,{\rm{\vec B}}$ are inclined to each other at an angle θ. Which of the following is the unit vector perpendicular to both ${\rm{\vec A}}\,and\,{\rm{\vec B}}$ ?

A vector ${\rm{\vec A}}$ points vertically upwards and ${\rm{\vec B}}$ points upwards North. The vector product ${\rm{\vec A}} imes {\rm{\;\vec B}}$ is

If the magnitudes of scalar and vector products of two vectors and are 6 and $6\sqrt 3$ respectively, then the angle between two vectors is

Which of the following is NOT an example of a co-initial vector?

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

Two vectors ${\rm{\vec A}}\,and\,{\rm{\vec B}}$ are inclined to each other at an angle θ. Which of the following is the unit vector perpendicular to both ${\rm{\vec A}}\,and\,{\rm{\vec B}}$ ?

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

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