The position vector of a particle is given by $\vec{r} = (3t^2 - 2t)\hat{i} - (t^3)\hat{j}$. The velocity of the particle at $t=2$ s is perpendicular to:

The area of parallelogram formed from the vectors ${\rm{\vec A}} = \hat i - 2\hat j + 3\hat k\,and\,{\rm{\vec B}} = 3\hat i - 2\hat j + \hat k$ as adjacent sides is

$\overrightarrow A$ is a vector with magnitude A, then the unit vector $\widehat A$ in the direction of $\overrightarrow A$ is

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

A vector having a magnitude of one unit is called a:

Which vector represents the position of a point in space relative to a fixed origin?

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

Two vectors $\vec{A}$ and $\vec{B}$ have equal magnitudes. Under what condition will their difference have the same magnitude as either of the vectors?

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

Which of the following is NOT an example of a vector quantity?

Which type of vector has a magnitude of one?