Scalar and Vector Quantities

A bus is moving on a straight road towards north with a uniform speed of  $50 \mathrm{km} {\mathrm{h}}^{-1}$  turns through  $90°$ anticlockwise. If the speed remains unchanged after turning , the increase in the velocity of bus in the turning process is:

The $X$ and $Y$ components of a given position vector $P$ have a numerical values $5 \mathrm{and} 6$ . The direction and magnitude of the vector $P$ is

If $\overrightarrow{P}+\overrightarrow{Q}=\overrightarrow{P}-\overrightarrow{Q}$, then

A force making an angle of ${60}^{\circ }$with +ve X-axis has a component of $20 \mathrm{N}$ along $\mathrm{X}-\mathrm{axis}.$ Write the force in vector form.

The velocity of a particle is $\overrightarrow{v}=\left(\hat{i}+\hat{j}-\hat{k}\right) \mathrm{m} {\mathrm{s}}^{-1}$. A force of $10\sqrt{3} \mathrm{N}$ parallel to velocity in vector form is:-

Component of vector$\overrightarrow{A}$ along vector $\overrightarrow{B}$

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

The magnitude of the vector sum of two vectors is found to be equal to the sum of their magnitudes. 

Calculate the vector sum of two unit vectors.

If  $\left(\stackrel{\rightharpoonup }{V_1}\right) = 3\widehat{i } +4\widehat{j }+\hat{k} and \left(\stackrel{\rightharpoonup }{V_2}\right) = \widehat{i } -\widehat{j }-\hat{k}$then determine magnitude of $\left(\stackrel{\rightharpoonup }{V_1}\right) +\left(\stackrel{\rightharpoonup }{V_2}\right)$.

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 bus is going due north at a speed of $50 \mathrm{km}/\mathrm{h}$. It makes $90°$ left turn without changing its speed. The change in the velocity of the bus is

Which one of the following physical quantities is not a fundamental quantity?

Which one of the following is a scalar quantity?

Pressure is a scalar quantity because _____.

Which of the following physical quantities is a scalar quantity?

Which of the following is an example of a pair of antiparallel vectors:

A sphere hits normal to a wall in X-direction such that the collision is perfectly elastic. The initial velocity vector and the final velocity vector of the sphere are:

Force applied on a body is represented by $\overrightarrow{A}$ and its displacement is represented by $\overrightarrow{B}$. Work done is defined as the dot product of the force applied and the displacement of the body. The work done by the given force on the body will be equal to $-AB$, if:

Which one of the following statements is true?