Vectors

What would be the value of  $\lambda$  which makes the vectors  $\overrightarrow{a},\overrightarrow{b},\overrightarrow{c}$  coplanar where  $\overrightarrow{a}=-4\widehat{\mathrm{i}}-6\widehat{\mathrm{j}}-2\widehat{\mathrm{k}},b=-\widehat{\mathrm{i}}+4\widehat{\mathrm{j}}+3\widehat{\mathrm{k}}$ and $\overrightarrow{c}=-8\widehat{\mathrm{i}}-\widehat{\mathrm{j}}+\mathrm{\lambda }\widehat{\mathrm{k}}$

How force is a polar vector?

How many types of polar vectors are there?

What is difference between Polar vector and axial vector?

What is Polar vector and example?

Which one is a polar vector?

What is displacement vector with example?

If vectors $\overrightarrow{A}=\hat{\mathrm{i}}+3\hat{\mathrm{j}}+2\hat{\mathrm{k}}$ and $\overrightarrow{B}=3\hat{\mathrm{i}}+\hat{\mathrm{j}}+2\hat{\mathrm{k}}$ then find value of $\overrightarrow{A}\times \overrightarrow{B}$..

Convert the vector $\overrightarrow{r}=3\stackrel{\wedge }{i}+2\stackrel{\wedge }{j}$ into a unit vector.

Calculate the vector sum of two unit vectors.

Vector $A$has a magnitude of $10$ units and makes an angle of $30°$ with the positive x-axis. Vector $B$ has a magnitude of $20$ units and makes an angle of $30°$ with the negative x-axis. What is the magnitude of the resultant between these two vectors?

Six vectors, a through f​ have the magnitudes and directions indicated in the figure. Which of the following statements is true?

The vectors $\overrightarrow{P}=2\hat{i}+p\hat{j}+q\hat{k}$ and $\overrightarrow{B}=5\hat{i}+7\hat{j}+3\hat{k}$ are parallel to each other. The values $p$ and $q$ are respectively

A student travelled $10 \mathrm{km}$ on the cycle and returned to the initial place. Which among the following is zero in his travel?

Displacement vector is defined as the shortest distance between the initial and final position of an object in motion.

What is a displacement vector?

Find the magnitude of the following free vector $\overrightarrow{X}=-2\hat{i}+3\hat{j}+6\hat{k}$.

The minimum number of unequal forces whose vector sum can be zero is

Let $\alpha \in R$ and the three vectors $\overrightarrow{a}=\alpha \widehat{i}+\widehat{j}+3\widehat{k},\overrightarrow{b}=2\widehat{i}+\widehat{j}-\alpha \widehat{k}$ and $\overrightarrow{c}=\alpha \widehat{i}-2\widehat{j}+3\widehat{k}.$ Then the set S = {$\alpha :\overrightarrow{a},\overrightarrow{b}$ and $\overrightarrow{c}$ are coplanar}

$M$ and $N$ are the mid points of the diagonals $AC$ and $BD$ respectively of quadrilateral $ABCD,$ then

$\overrightarrow{AB}+\overrightarrow{AD}+\overrightarrow{CB}+\overrightarrow{CD}=$