The adjacent sides of a parallelogram are $\overrightarrow A = 2\widehat i - 3\widehat j + \widehat k\,and\,\overrightarrow B = - 2\widehat i + 4\widehat j - \widehat k$ . Then the area of the parallelogram is

The parallelogram law of vector addition is equivalent to which other method of vector addition?

Two forces are such that the sum of their magnitudes is 18N and their resultant is perpendicular to the smaller force and magnitude of the resultant is 12N . Then the magnitudes of the forces are

The sum of magnitude of two forces acting at a point is $16N$ and their resultant $8\sqrt 3 \,\,N$ is at ${90^0}$ with the force of smaller magnitude. The two forces $\left( {in\,\,N} \right)$ are

If the sum of the two unit vectors is also a unit vector, then magnitude of their difference is

If two forces of equal magnitude act on an object at a right angle, the resultant will be:

Three forces $\vec{F_1} = 2\hat{i} + \hat{j}$, $\vec{F_2} = \hat{i} - \hat{j}$, and $\vec{F_3} = x\hat{i} + y\hat{j}$ act on a particle. If the particle is in equilibrium, what are the values of $x$ and $y$?

If the sum of the two unit vectors is also a unit vector, then magnitude of their difference is

Two vectors $\vec{A}$ and $\vec{B}$ are added using the parallelogram law. If the magnitude of $\vec{A}$ is doubled while keeping the magnitude of $\vec{B}$ and the angle between them constant, how does the magnitude of the resultant vector change?

Two forces of equal magnitude F act on an object. For which angle between the forces will the magnitude of the resultant be maximum?

Two forces of magnitudes 5 N and 7 N act on a particle at an angle of 60 degrees. According to the parallelogram law of vectors, what is the magnitude of the resultant force?