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

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.

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

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

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

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

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

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

Prove that the vecotos 3hati+5hatj+2hatk, 2hati-3hatj-5hatk and 5hati+2hatj-3hatk form the sides of an equlateral triangle.