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.

Show that the points A,B and C having position vectors (hati + 2hatj + 7hatk),(2hati + 6hatj + 3hatk) , and (3hati + 10 hatj - 3hatk) respectively, are collinear.

Show that the points A, B and C with position vectors veca=3hati -4hatj-4hatk , vecb= 2hati-hatj+hatk and vecc=hati-3hatj-5hatk respectively form the vertices of a right 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

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

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) =

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

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 points with position vectors 5hati + 5hatk, -4hati + 3hatj - hatk and 2hati +hatj + 3hatk

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