A vector ${\rm{\vec A}}$ when added to the vector ${\rm{\vec B = }}3\hat i + 4\hat j$ yields a resultant vector that is in the positive y direction and has a magnitude equal to that of ${\rm{\vec B}}$ Find the magnitude of ${\rm{\vec A}}$

Find the angle between two vectors $\overrightarrow A = 2\widehat i + \widehat j - \widehat k$ and $\overrightarrow B = \widehat i - \widehat k$

A vector ${\rm{\vec A}}$ when added to the vector ${\rm{\vec B = }}3\hat i + 4\hat j$ yields a resultant vector that is in the positive y direction and has a magnitude equal to that of ${\rm{\vec B}}$ Find the magnitude of ${\rm{\vec A}}$

The X and Y components of vector ${\rm{\vec A}}$ have numerical values 6 and 6 respectively and that of $\left( {{\rm{\vec A}} + {\rm{\vec B}}} \right)$ have numerical values 10 and 9. What is the numerical value of ${{\rm{\vec B}}}$ ?

A force is inclined at ${60^0}$ to the horizontal. If its rectangular component in the horizontal direction is 50 N, then magnitude of the force in the vertical direction is

Find the vector component of vector $\overrightarrow A = 2\widehat i + 3\widehat j$ along the direction of $\overrightarrow B = \widehat i + \widehat j$

$\left( {{\rm{\vec P}} + {\rm{\vec Q}}} \right)$ is a unit vector along X-axis. If ${\rm{\vec P}} = \hat i - \hat j + \hat k,$ then what value is ${\rm{\vec Q}}?$

What is the numerical value of the vector $3\hat i + 4\hat j + 5\hat k?$

The adjacent sides of a parallelogram are represented by co-initial vectors $2\hat i + 3\hat j\,and\,\hat i + 4\hat j$. The area of the parallelogram is

The adjacent sides of a parallelogram are represented by co-initial vectors $2\hat i + 3\hat j\,and\,\hat i + 4\hat j$. The area of the parallelogram is

Velocity and acceleration vectors of a charged particle moving perpendicular to the direction of magnetic field at a given instant of time are $\overrightarrow V = 2\widehat i + c\widehat j\,and\,\overrightarrow a = 3\widehat i + 4\widehat j$ respectively. Then the value of ‘C’ is