MHT CET202521 Apr 2025Evening ShiftPhysicsMathematics in PhysicsActual
A unit vector in the direction of resultant vector of A =-2 i +3 j + k and B = i +2 j -4 k is
Options
- A-3 i + j +5 k 35
- Bi +2 j -4 k 35
- C-2 i +3 j + k 35
- D- i +5 j -3 k 35
Correct answer
D. - i +5 j -3 k 35
Step-by-step solution
The resultant vector is R = A + B = (-2 i + 3 j + k ) + ( i + 2 j - 4 k ) = - i + 5 j - 3 k . The magnitude is | R | = (-1)^2 + (5)^2 + (-3)^2 = 35 . The unit vector is R = 1 35 (- i + 5 j - 3 k ) . This matches option D .