If two adjacent sides of a square are and represented by the vectors `xvec i+ vec j+4vec k` and `3vec i+ yvec j` then xy=

If two adjacent sides of a square are and represented by the vectors xvec i+vec j+4vec k and 3vec i+yj then xy=

If two adjacent sides of a square are represented by the vectors xvec i+vec j+4vec k and 3vec i+yj then xy=

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

The adjacent sides of a parallelogram are represented by the vectors vec a=hat i+hat j-hat k and vec b=-2hat i+hat j+2hat k Find unit vectors parallel to the diagonals of the parallelogram.

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

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

Let vec a=hat i+alphahat j+3hat k and vec b=3hat i-alphahat j+hat k .If the area of the parallelogram whose adjacent sides are represented by the vectors vec a and vec b is 8sqrt(3) square units,then vec a*vec b is equal to

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

Two adjacent sides of a triangle are represented by the vectors vec(a)=3hat(i)+4hat(j) and vec(b)=-5hat(i)+7hat(j) . The area of the triangle is

Find the area of the triangle whose adjacent sides are made by the vectors vec a = 3 hat i + 4 hat j + 4 hat k and vec b = hat i - hat j + hat k .