The area of the paralleogram represented by the vectors `vec(A)= 2hat(i)+3hat(j)` and `vec(B)= hat(i)+4hat(j)` is

Show that the vectors vec(a)=2hat(i)+3hat(j) and vec(b)=4hat(i)+6hat(j) are parallel.

Unit vector parallel to the resultant of vectors vec(A)= 4hat(i)-3hat(j) and vec(B)= 8hat(i)+8hat(j) will be

Unit vector parallel to the resultant of vectors vec(A)= 4hat(i)-3hat(j) and vec(B)= 8hat(i)+8hat(j) will be

Find the area of the parallelogram whose diagonals are represented by the vectors vec(d)_(1)=(2 hat(i) - hat(j)+ hat(k)) and vec(d)_(2) = (3 hat(i) + 4 hat(j) - hat(k)).

Find the area of the parallelogram whose adjacent sides are represented by the vectors (i) vec(a)=hat(i) + 2 hat(j)+ 3 hat(k) and vec(b)=-3 hat(i)- 2 hat(j) + hat(k) (ii) vec(a)=(3 hat(i)+hat(j) + 4 hat(k)) and vec(b)= ( hat(i)- hat(j) + hat(k)) (iii) vec(a) = 2 hat(i)+ hat(j) +3 hat(k) and vec(b)= hat(i)-hat(j) (iv) vec(b)= 2 hat(i) and vec(b) = 3 hat(j).

Vector vec(A)=hat(i)+hat(j)-2hat(k) and vec(B)=3hat(i)+3hat(j)-6hat(k) are :

Vector vec(A)=hat(i)+hat(j)-2hat(k) and vec(B)=3hat(i)+3hat(j)-6hat(k) are :

Find the volume of the parallelepiped whose edges are represented by the vectors vec(a)=(2hat(i)-3hat(j)+4hat(k)), vec(b)=(hat(i)+2hat(j)-hat(k)) and vec(c)=(3hat(i)-hat(j)+2hat(k)) .