Particle A moves with velocity 4î m s⁻¹ and particle B moves with velocity -3ĵ m s⁻¹. Which option correctly gives vₐᵦ and vᵦₐ?
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Question

Particle A moves with velocity 4î m s⁻¹ and particle B moves with velocity -3ĵ m s⁻¹. Which option correctly gives vₐᵦ and vᵦₐ?

G1 Physics · Accepted Answer

Relative velocity of A with respect to B: vₐᵦ = vₐ - vᵦ = 4î - (-3ĵ) = 4î + 3ĵ. Magnitude: |vₐᵦ| = √(4²+3²)=5 m s⁻¹. Similarly, vᵦₐ = vᵦ - vₐ = -3ĵ - 4î = -4î - 3ĵ, and |vᵦₐ|=5 m s⁻¹.