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

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

Find the volume of the parallelepiped whose coterminous edges are represented by the vector: vec a=2 hat i+3 hat j+4 hat k ,\ vec b= hat i+2 hat j- hat k ,\ vec c=3 hat i- hat j+2 hat k .

Find the volume of the parallelepiped whose coterminous edges are represented by the vector: vec a=2 hat i-3 hat j+4 hat k ,\ vec b= hat i+2 hat j- hat k ,\ vec c=3 hat i- hat j-2 hat k .

Find the volume of the parallelepiped whose coterminous edges are represented by the vector: vec a= hat i+ hat j+ hat k ,\ vec b= hat i- hat j+ hat k ,\ vec c= hat i+2 hat j- hat k .

Find the volume of the parallelepiped whose coterminous edges are represented by the vectors: i, vec a=2 hat i+3 hat j+4 hat k , vec b= hat i+2 hat j- hat k , vec c=3 hat i- hat j+2 hat k ii, vec a=2 hat i-3 hat j+4 hat k , vec b= hat i+2 hat j- hat k , vec c=3 hat i- hat j-2 hat k iii, vec a=11 hat i , vec b=2 hat j , vec c=13 hat k iv, vec a= hat i+ hat j+ hat k , vec b= hat i- hat j+ hat k , vec c= hat i+2 hat j- hat k

The angle between the lines overset(to)( r)=(4 hat(i) - hat(j) )+ lambda(2 hat(i) + hat(j) - 3hat(k) ) and overset(to) (r )=( hat(i) -hat(j) + 2 hat(k) ) + mu (hat(i) - 3 hat(j) - 2 hat(k) ) is

A vector parallel to the line of intersection of the planes overset(to)( r) (3 hat(i) - hat(j) + hat(k) )=5 and overset(to) (r ) (hat(i) +4 hat(j) - 2 hat(k) )=3 is

The area of parallelogram represented by the vectors overset(rarr)A = 2 hat i + 3 hat j and overset(rarr)B=hat i+4 hat j is

Find the area of a parallelogram whose adjacent sides are represented by the vectors 2 hat i-3 hat k and 4 hat j+2 hat k .

Find unit vectors along overset(rarr)A=hat I + hat j - 2 hat k and overset(rarr)B=hat I +2 hat j -hat k