For vectors a, b with |a| = |b| = 1 and a · b = 1/2, angle:
- π/6
- π/4
- π/2
- π/3 (60°; cos θ = 1/2)
Show answer and solution
Correct answer: D. π/3 (60°; cos θ = 1/2)
a · b = |a||b| cos θ.
We have 1/2 = 1 × 1 × cos θ → cos θ.
That is 1/2 = 1/2 → θ.
So 1/2 = π/3 (60°).