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

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

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 (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 (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 (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-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

Find the value of 'a' do the which the pointA,B,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 .

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