A car travels 3 km east and then 4 km north. What is the magnitude of its displacement from the starting point?

A child travelling in a train throws a ball outside with a speed V. According to a child who is standing on the ground, the speed of the ball is

If the vector ${\rm{\vec A}} = 2\hat i + 4\hat j\,\,and\,\,{\rm{\vec B}} = 5\hat i + {\rm{p\hat j}}$ are parallel to each other, the magnitude of ${\rm{\vec B}}$ is

A projectile is launched with an initial velocity of $20 \, m/s$ at an angle of $60^\circ$ with the horizontal. What is the vertical component of its initial velocity?

Which of the following is the correct formula for the y-component of a vector A making an angle θ with the x-axis?

\mathop {{\rm{ }}A}\limits^ -   = \mathop {{\rm{ }}B}\limits^ -   + \mathop {{\rm{ }}C}\limits^ -   and the magnitudes of \mathop {{\rm{ }}A}\limits^ -  ,\mathop {{\rm{ }}B}\limits^ -  ,\mathop {{\rm{ }}C}\limits^ -   are 5, 4 and 3 units respectively, the angle between \mathop {{\rm{ }}A}\limits^ -  \mathop {{\rm{ }}C}\limits^ -   is:

A vector $\vec{A}$ has magnitude $10$ and makes an angle of $30^\circ$ with the positive x-axis. What are the x and y components of $\vec{A}$?

The component of a vector $\vec{r}$ along the X-axis will have maximum value if:

Given ${\rm{\vec A}} = \hat i + 2\hat j - 3\hat k$. When a vector ${\rm{\vec B}}$ is added to ${\rm{\vec A}}$, We get a unit vector along X=axis. Then,${\rm{\vec B}}$ is

Two vectors $\vec{A}$ and $\vec{B}$ have magnitudes A and B respectively. If the magnitude of their resultant is $\sqrt{A^2 + B^2 + \sqrt{3}AB}$, the angle between the vectors is:

A child travelling in a train throws a ball outside with a speed V. According to a child who is standing on the ground, the speed of the ball is