Showt hat the points `A(2hati-hatj+hatk),B(hati-3hatj-5hatk) and C(3hati-3hatj-3hatk)` are the vertices of a righat ngled triangled

Prove that the points 2hati-hatj+hatk, hati-3hatj-5hatk and 3hati-4hatj-4hatk are the vertices of a righat angled triangle. Also find the remaining angles of the triangle.

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

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

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

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

The value 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 are the vetices of a righat angled triangle with C=pi/2 are (A) -2 and -1 (B) -2 and 1 (C) 2 and -1 (D) 2 and 1

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