AP EAMCET20226 Jul 2022Morning ShiftPhysicsMathematics in PhysicsActual
Two position vectors are given by r₁ =(1,1,1) and r₂ =(1,-1,1) . The unit vector in the direction of r₁ r₂
Options
- Ai 2 - k 2
- B- i 2 - k 2
- Ci 2 + k 2
- D- i 2 + k 2
Correct answer
A. i 2 - k 2
Step-by-step solution
We have aligned & r ₁ r ₂ = | array ccc i & j & k 1 & 1 & 1 1 & -1 & 1 array | & = i (2)+ j (0)+ k (-2)=2 i -2 k aligned So, unit vector in the direction of ( r ₁ r ₂ )= 2 i -2 k 2^2+(-2)^2 = i 2 - k 2