Let `bar(PR)=3hati+hatj-2hatk and bar(SQ)=hati-3hatj-4hatk` determine diagonals of a parallelogram PQRS and `bar(PT)=hati+2hatj+3hatk` be another vector. Then the volume of the parallelepiped determined by the vectors `bar(PT),bar(PQ) and bar(PS)` is

Let vec(PR)=3hati+hatj-2hatk and vec(SQ)=hati-3hatj-4hatk represent the diagonals of the parallelogram PQRS. If vec(PT)=2hati-hatj+hatk is another vector, then the volume (in cubic units) of the parallelepiped formed by the vectors vec(PT),vec(PQ) and vec(PS) is

If the diagonals of a parallelogram are 3 hati + hatj -2hatk and hati - 3 hatj + 4 hatk, then the lengths of its sides are

The diagonals of a parallelogram are given by vectors 2hati+3hatj-6hatk and 3hati-4hatj-hatk . Determine the area.

The diagonals of a parallelogram are given by -3hati+2hatj-4hatk and -hati+2hatj+hatk . Calculate the area of parallelogram.

The diagonals of a parallelogram are gives by the vectors 3hati +hatj + 2hatk and hati - 3hatj +4hatk . Find the area of the parallogram.

The sides of a parallelogram are 2hati +4hatj -5hatk and hati + 2hatj +3hatk . The unit vector parallel to one of the diagonals is

If bar A= 2hati+8hatj+7hatk and bar B=3hati+2hatj then the component of (barA+barB) along x-axis is

Diagonals of a parallelogram are respresented by vectors vecA = 5hati - 4hatj + 3hatk and vecB = 3hati +2hatj - hatk . Area of the parallelogram is :

If the vectors hati-3hatj+2hatk,-hati+2hatj represents the diagonals of a parallelogram, then its area will be

The sides of a parallelogram are 2 hati + 4 hatj -5 hatk and hati + 2 hatj + 3 hatk , then the unit vector parallel to one of the diagonals is