Correct Answer - Option 1 : 12î + 4ĵ + 13k̂
Explanation:
Velocity field in a fluid medium
\(\vec V = 3x{y^2}\hat i + 2xy\hat j + \left( {2zy + 3t} \right)\hat k\)
Magnitudes and direction of translational velocity at (1,2,1) and at time t = 3
= (3×1×22) î + (2×1×2) ĵ + (2×1×2 + 3×3) k̂
= 12î + 4ĵ + 13k̂