Tag: multiplication of vectors

The velocity of a particle is $\vec{v}=6\hat{i}+2\hat{j}-2\hat{k}.$ The component of the velocity parallel to vector $\vec{a}=\hat{i}+\hat{j}+\hat{k}$ is :- 

If $\overline {A} \times\overline {B} =\overline {C}$ which of the following statement is not correct?

Two forces of magnitude 20N and 20N act along the adjacent sides of the parallelogram and the magnitude of the resultant force of these two forces is $20\sqrt{3}$. Then the angle between these forces is:

What is the unit vector perpendicular to the following vectors $ 2\hat{i} + 2\hat{j}- k$ and $6\hat{i}-3\hat{j}+2k$ 

$(\overline{A} + \overline{B} )\times ( \overline{A} - \overline{B} )$ is

The vectors $\vec{A}=4\hat{i}+3\hat{j}+\hat{k}$ and $\vec{B}=12\hat{i}+9\hat{j}+3\hat{k}$ are parallel to each other.

The momentum of a particle is $\vec { P } =\vec { A } +\vec { B } { t }^{ 2 }$, where $\vec { A }$ and $\vec { B }$ are constant perpendicular vectors. The force acting on the particle when its acceleration is at ${45}^{o}$ with its velocity is

Find the projection of $ \vec A =2\hat { i } -\hat { j } +\hat { k } \quad on\quad \vec  B  =\quad \hat { i } -2\hat { j } +\hat { k }  $

The resultant of the two vector is having magnitude 2 and 3 is 1. What is their cross product 

The vector of  magnitude 18 which is perpendicular to both vectors $4\hat i-\hat j+3\hat k \,and  -2\hat i+\hat j-2\hat k$  is