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.

The values of a for which the points A, B, and C with position vectors 2hati - hatj + hatk, hati - 3hatj - 5hatk, and ahati - 3hatj + hatk ,respectively, are the vertices of a right-angled triangle with C = pi/2 are

Show that the points A, B, C with position vectors 2hati – hatj + hatk, hati – 3 hatj – 5 hatk and 3 hat i – 4 hat j – 4 hatk respectively, are the vertices of a right-angled triangle. Hence find the area of the triangle.

Show that the points A, B, and C with position vectgors veca=2hati+4hatj-hatk, vecb=4hati+5hatj+hatk and vecc=3hati+6hatj-3hatk respectively form the veertices of a righat angled triangle

If three points A, B and C have position vectors hati + x hatj + 3 hatk, 3 hati + 4 hatj + 7 hatk and y hati -2hatj - 5 hatk respectively are collinear, then (x, y) =

Show that the four points A,B,C and D with position vectors 4hati+5hatj+hatk, -hatj-hatk, 3hati+9hatj+4hatk and 4(-hati+hatj+hatk) respectively, are coplanar.

The values of a for which the points A,B,C with position vectors 2hati+hatj+hatk, hati-3hatj-5hatk and ahati-3hatj+hatk respectively are the vertices of a righat angled triangle at C are (A) 2 and 1 (B) -2 and -1 (C) -2 and 1 (D) 2 and -1

Show that the points A, B and C with position vectors -2hati+3hatj+5hatk, hati+2hatj+3hatk and 7hati-hatk respectively are collinear

Prove that the points hati-hatj, 4hati-3hatj+ hatk and 2hati-4hatj+5hatk are the vertices of a right angled triangle.

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

The position vectors of points A,B and C are hati+hatj,hati + 5hatj -hatk and 2hati + 3hatj + 5hatk , respectively the greatest angle of triangle ABC is