Show that the vectors, `vec(a)=hati-2hatj+3hatk,vec(b)=-2hati+3hatj-4hatk` and `vec( c )=hati-3hatj+5hatk` are coplanar.

Show that the vectors vec(a)=hati-2hatj+3hatk,vec(b)=-2hati+3hatj-4hatk and vec( c )=hati-hatj+5hatk are coplannar.

If the vectors vec(a)=hati+3hatj+hatk,vec(b)=2hati-hatj-hatk and vec( c )=lambda hati+7hatj+3hatk are coplannar then find lambda .

Show that the points A, B and C with position vectors, vec(a)=3hati-4hatj-4hatk,vec(b)=2hati-hatj+hatk and vec( c )=hati-3hatj-5hatk , respectively form the vertices of a right angled triangle.

Find the area of the triangle formed by the tips of the vectors vec(a) = hati - hatj - 3hatk, vec(b) = 4hati - 3hatj +hatk and vec(c) = 3 hati - hatj +2 hatk .

Find [vec(a)vec(b)vec( c )] if vec(a)=hati-2hatj+3hatk,vec(b)=2hati-3hatj+hatk and vec( c )=3hati+hatj-2hatk .

If vec(a)=2hati+hatj+3hatk,vec(b)=-hati+2hatj+hatk and vec( c )=3hati+hatj+2hatk then find vec(a).(vec(b)xx vec( c )) .

if three vectors are veca=-3hati+2hatj-hatk, vecb=hati-3hatj+5hatk and vecc=2hati+hatj-4hatk then find a-b-c is

Show that the vectors 2hati-3hatj+4hatk and -4hati+6hatj-8hatk are collinear.

vec(a)=2hati-10hatj+2hatk,vec(b)=3hati+hatj+2hatk and vec( c )=2hati+hatj+3hatk then find vec(a)xx(vec(b)xxvec( c )) .

Show that the vectors hati-hatj-hatk,2hati+3hatj+hatk and 7hati-2hatj-4hatk are coplanar.