[" Find the area of the parallelogram determined by the vectors "vec i+2vec j+3vec k" and "],[-3vec i-2vec j+vec k]

The area of a parallelogram whose adjacent sides are determined by the vectors vec a=i+2j+3k and vec b=-3i-2j+k

The sine of the angle between the vectors vec i+3vec j+2vec k and 2vec i-4vec j+vec k is

Let ABCD be the parallelogram whose sides AB and AD are represented by the vectors 2vec i+4vec j-5vec k and vec i+2vec j+3vec k respectively. Then if vec a is a unit vector parallel to vec AC ,then vec a is equal to

| 2vec i-3vec j + vec k | =

Find the angle between the vectors vec(i) + 2vec(j) + 3vec(k) and 3vec(i) - vec(j) + 2vec(k) .

The vector area of the parallelogram whose adjacent sides vec(i) + vec(j) + vec(k) and 2vec(i)-vec(j) + 2vec(k) is

Find a unit vector which is perpendicular to each of the vectors 3vec i+2vec j-vec k and 12vec i+5vec j-5vec k

Find lambda such that the scalar product of the vector vec i + vec j + vec k with the unit vector parallel to the sum of the vectors 2 vec i + 4 vec j - 5 vec k and lambda vec i + 2 vec j + 3 vec k is equal to 1.