If `(1,2,4) and (2,-lamda,-3)` are the initial and terminal points of the vector `hati+5hatj-7hatk` then the value `lamda` is equal to (A) `7` (B) `-7` (C) `-5` (D) `5`

Find the value of lamda so that the two vectors 2hati+3hatj-hatk and -4hati-6hatj+lamda hatk are parallel

The volume of the tetrahedronwhose vertices are the points with position vectors hati-5hatj+10hatk, -hati-3hatj+7hatk, 5hati-hatj+lamdahatk and 7hati-4hatj+7hatk is 11 cubic units then the value of lamda is (A) 7 (B) 1 (C) -7 (D) -1

If the four points with position vectors -2hati+hatk, hati+hatj+hatk, hatj-hatk and lamda hatj+hatk are coplanar then lamda= (A) 1 (B) 2/3 (C) -1 (D) 0

The vectors hati+2hatj+3hatk,lamdahati+4hatj+7hatk,-3hati-2hatj-5hatk are collinear, of lamda is equal to

If the scalar triple product of the vectors -3hati+7hatj-3hatk,3hati-7hatj+lamdahatk and 7hati-5hatj-3hatk is 272 then lamda = . . .

If the vectors veca=2hati-hatj+hatk, vecb=hati+2hatj-hat(3k) and vecc= 3hati+lamda hatj+5hatk are coplanar the value of lamda is (A) -1 (B) 3 (C) -4 (D) -1/4

The two vectors A=2hati+hatj+3hatk and B=7hati-5hatj-3hatk are -