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.

If the vectors 4hati+11hatj+mhatk,7hati+2hatj+6hatk and hati+5hatj+4hatk are coplanar, then m is equal to

Vectors 2hati+2hatj-2hatk,5hati+yhatj+hatk and -hati+2hatj+2hatk are coplanar then find the value of y.

The vectors 3hati - hatj +2hatk, 2hati+hatj+3hatk and hati+lambdahatj-hatk are coplanar if value of lambda is (A) -2 (B) 0 (C) 2 (D) any real number

If the four points with position vectors -2hati+hatj+hatk, hati+hatj+hatk, hatj-hatk and lamda hatj+hatk are coplanar then lamda= (A) 1 (B) 2/3 (C) -1 (D) 0

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

Find lambda if the vectors hati\ -\ hatj\ +\ hatk,\ 3 hati+\ hatj\ +\ 2 hatk\ and\ hati+lambda hatj+ hat3k\ are coplanar

Prove that the vectgors 2hati-hatj+hatk, hati-3hatj-5hatk and 3hati-4hatj-4hatk form a righat angled triangle.

Using dot product of vectors show that the vectors 2hati-hatj+hatk, hati-3hatj-5hatk and 3hati-4hatj-4hatk form a righat angled triangle

The point having position vectors 2hati+3hatj+4hatk,3hati+4hatj+2hatk and 4hati+2hatj+3hatk are the vertices of