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 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

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 .

Given two vectors vec(A)=3hat(i)+hat(j)+hat(k) and vec(B)=hat(i)-hat(j)-hat(k) .Find the a.Area of the triangle whose two adjacent sides are represented by the vector vec(A) and vec(B) b.Area of the parallelogram whose two adjacent sides are represented by the vector vec(A) and vec(B) c. Area of the parallelogram whose diagnoals are represented by the vector vec(A) and vec(B)

Given two vectors vec(A)=3hat(i)+hat(j)+hat(k) and vec(B)=hat(i)-hat(j)-hat(k) .Find the a.Area of the triangle whose two adjacent sides are represented by the vector vec(A) and vec(B) b.Area of the parallelogram whose two adjacent sides are represented by the vector vec(A) and vec(B) c. Area of the parallelogram whose diagnoals are represented by the vector vec(A) and vec(B)