Assume ground as XY-plane and vertically upward as Z-axis. The velocity of an aeroplane is 3i + 4 j + 5 k  . A car is moving on ground as such aeroplane is always above the car. At t = 0, both starts from origin of coordinate system. Choose the correct statement(s).

Q: Assume ground as XY-plane and vertically upward as Z-axis. The velocity of an aeroplane is $3 \hat{i} + 4 \hat{j} + 5 \hat{k}$ . A car is moving on ground as such aeroplane is always above the car. At t = 0, both starts from origin of coordinate system. Choose the correct statement(s).

(a) The velocity of car is $3 \hat{i} + 4 \hat{j} $

(b) The equation of path of car is $y = \frac{4}{3}x $

(c) The velocity of aeroplane seen by an observer in car is $5\hat{k}$

(d) None of the above

Ans: (a),(b),(c)