A bird moves from point (1, -2, 3) to (4, 2, 3). If the speed of the bird is 10 m.s^-1, then the velocity vector of the bird is:

Velocity Vector is given by the unit vector in that direction and speed Initial Point (1, -2, 3) In Vector Form: (i - 2j + 3k) Final Point (4, 2, 3) In Vector Form: (4i + 2j + 3k) Position Vector can be represented by(4-1)i + (2-(-2))j + (3-3)k(3)i + (4)j----------------(1) Magnitude = (3²+4²)^1/2 Magnitude = 5-----------(2) Unit Vector = Dividing (1) by (2) we get 0.6i + 0.8j Now speed of the bird = 10 m.s-1 Vector is represented by magnitude and direction Now magnitude of velocity is speed So 10 (0.6i + 0.8j) = 6i + 8j (Correct Answer)