If a and b are unit vectors and θ is the angle between them, then |a − b| is equal to: A. 2sin(θ/2) B. 2cos(θ/2) C. sin(θ/2) D. cos(θ/2) Answer: A) 2sin(θ/2) Explanation: |a − b|² = |a|² + |b|² − 2a.b = 1 + 1 − 2cosθ = 2(1 − cosθ) = 2(2sin²(θ/2)) = 4sin²(θ/2). Taking the square root gives 2sin(θ/2).

imo class 12 vector algebra

If a and b are unit vectors and θ is the angle between them, then |a − b| is equal to:

VAVidaara Admin Asked 6d ago 0 views 0 answers

If a and b are unit vectors and θ is the angle between them, then |a − b| is equal to:

Answer: A) 2sin(θ/2)

Explanation: |a − b|² = |a|² + |b|² − 2a.b = 1 + 1 − 2cosθ = 2(1 − cosθ) = 2(2sin²(θ/2)) = 4sin²(θ/2). Taking the square root gives 2sin(θ/2).