Tag: mathematical methods

Three vectors satisfy the relation $\displaystyle \overrightarrow { A } .\overrightarrow { B } =0$ and $\displaystyle \overrightarrow { A } .\overrightarrow { C } =0$, then $\displaystyle \overrightarrow { A } $ is parallel to:

Vectors $\bar { A }$, $\bar { B }$ and $\bar { C }$ are such that $ \bar { A } \bullet \bar { B } =0$ and $ \bar { A } \bullet \bar { C } =0$. Then the vector parallel to $\bar { A }$ is

The vector $\overrightarrow { B } = 5\hat { i } + 2\hat {  j}-S \hat {  k} $ is perpendicular to the vector $\overrightarrow {  A}= 3\hat {  i} +\hat { j } + 2\hat {k  } $ if S=

$\vec {A}$ and $\vec {B}$ are vectors expressed as $\vec {A} =2\hat {i}+\hat {j}$ and $\vec {B} =\hat {i}-\hat {j}$. Unit vector perpendicular to $\vec {A}$ and $\vec {B}$ is

Two particles are simultaneously projected in opposite direction horizontally from a given point in space where gravity g is uniform.If $u _1 and u _2$ be their initial speeds, then the time t after which their velocities are mutually perpendicular is given by

If the magnitude of two vectors are $8$ unit and $5$ and their scalar product is zero, the angle between the two vectors is

If $\overrightarrow { A } +\overrightarrow { B } =\overrightarrow { R }$ and $\left( \overrightarrow { A } +2\overrightarrow { B }  \right)$ is perpendicular to $\overrightarrow { A }$, then

The angle between the vectors $(\overline{\mathrm{A}}$ x $\overline{\mathrm{B}})$ and $(\overline{\mathrm{B}}\times\overline{\mathrm{A}})$ is:

In a clockwise system, which of the following is true?

The value of $ (\bar { A } +\bar { B } )\times (\bar { A } -\bar { B } )$ is