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

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

Find the value of 'lambda' such that the vectors : 3hati+lambda hatj+5hatk, hati+2hatj-3hatk and 2hati-hatj+hatk are coplanar.

The vectors lamdahati+hatj+2hatk, hati+lamdahatj-hatk and 2hati-hatj+lamda hatk are coplanar if

Find the value of lambda . such that given vectors 3hati+lambdahatj+5hatk , hati+2hatj-3hatk and 2hati-hatj+hatk are coplaner.

Show that the vectors veca=hati-2hatj+3hatk,vecb=-2hati+3hatj-4hatk and vecc=hati-3hatj+5hatk are coplanar.

Show that the vectors : 2hati-hatj+hatk,hati-3hatj-5hatk and 3hati-4hatj-4hatk 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.

Using scalar triple product prove that the four points whose position vectors are given by the vectors , hati-hatj+hatk , 2hati-2hatj , 3hati+2hatj+2hatk and 4hati+hatj+hatk are coplanar.

Using scalar triple product prove that the four points whose position vectors are given by the vectors -hatj+hatk , 2hati-hatj-hatk , hati+hatj+hatk and 3hatj+3hatk are coplanar.

Using scalar triple product prove that the four points whose position vectors are given by the vectors , 4hati-2hatj+hatk , 5hati+hatj+6hatk , 2hati+2hatj-5hatk and 3hati+5hatj are coplanar.