Find the work done in moving a particle along a vectors `vec(S)=(hat(i)-2hat(j)+3hat(k))m` if applied force is `vec(F)=(2hat(i)-3hat(j)+4hat(k))N`.

Find the workdone in moving a particle along a vectors vec(S)=(hat(i)+2hat(j)+6hat(k))m if applied force is vec(F)=(2hat(i)+3hat(j)+5hat(k))N at an angle 60^(@) .

Find the sum of the vectors vec(a)=(hat(i)-3hat(k)), vec(b)=(2hat(j)-hat(k)) and vec(c)=(2hat(i)-3hat(j)+2hat(k)) .

Find the scalar and vector products of two vectors vec(a)=(2hat(i)-3hat(j)+4hat(k)) and vec(b)= (hat(i)-2hat(j)+3hat(k)) .

Find the dot product of two vectors vec(A)=3hat(i)+2hat(j)-4hat(k) and vec(B)=2hat(i)-3hat(j)-6hat(k) .

Find the dot product of two vectors vec(A)=3hat(i)+2hat(j)-4hat(k) and vec(B)=2hat(i)-3hat(j)-6hat(k) .

Find the scalar and vector products of two vectors vec(a)=(2hat(i)-3hat(j)+4hat(k)) and vec(b)(hat(i)-2hat(j)+3hat(k)) .

Find the scalar and vector products of two vectors vec(A)=(3hat(i)-4hat(j)+5hat(k)) "and" vec(B)=(-2hat(i)+hat(j)-3hat(k)) .

Find the area of the parallelogram whose diagonals are determined by vectors vec(a)= 3hat(i) + hat(j)-2hat(k) and vec(b)= hat(i) - 3hat(j) + 4hat(k)

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)) .