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

Show that the points with position vectors hati+2hatj+7hatk, 2hati+6hatj+3hatk and 3hati+10hatj-hatk are collinear

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

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 three points -2hati+3hatj+5hatk, hati+2hatj+3hatk, 7hati-hatk are collinear

Show that the three points whose position vectors are -3hati+hatj+5hatk, 2hati+3hatk, -13hati+3hatj+9hatk are collinear

Consider points A,B,C and D with position vectors 7hati-4hatj+7hatk, hati-6hatj+10hatk, hati-3hatj+4hatk and 5hati-hatj+5hatk respectively. Then ABCD is a (A) square (B) rhombus (C) rectangle (D) parallelogram but not a rhombus