Show that the points `A(2hati-hatj+hatk),B(hati-3hatj-5hatk),C(3hati-4j-4hatk)` are vertices of a right angled triangle.

Show that the points A(2hati-hatj+hatk),B(hati-3hatj-5hatk) and C(3hati-4hatj-4hatk) are the vertices of right angled triangle.

Show that the points A(-2hati+3hatj+5hatk),B(hati+2hatj+3hatk)andC(7hati-hatk) are collinear.

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

Show that the points A,B and C having position vectors (3hati - 4hatj - 4hatk), (2hati - hatj + hatk) and (hati - 3hatj - 5hatk) respectively, from the vertices of a right-angled triangle.

Show that the points A,B and C with position vectors , veca=3hati-4hatj-4hatk,vecb=2hati-hatj+hatkandvecc=hati-3hatj=5hatk ,respectively form the vertices of a right angled triangle.

Show that the vectors hati-3hatj+2hatk,2hati-4hatj-hatk and 3hati+2hatj-hatk and linearly independent.

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

The vectors hati+2hatj+3hatk,lamdahati+4hatj+7hatk,-3hati-2hatj-5hatk are collinear, of lamda is equal to

The vectors 2 hati - ahtj + hatk, hati -3 hatj - 5 hatj and sqrt3 hati - 4 hatj - 4 hatk are the sides of a triange, which is :

If the vectors 2hati-hatj+hatk,hati+2hatj-3hatk and 3hati+ahatj+5hatk are coplanar, the prove that a=-4.