NDA Maths Mock Test – 01 – Q76

Question:

Question 76

Question 76

Options:

  • π/2
  • 5π/2
  • π/6
  • π/3
  • π/2
  • 5π/2
  • π/6
  • π/3

Correct Answer: d)

Explanation:

Given that, |a| = √3, |b| = 4 and a . b = 2√3.
Let θ be the angle between vectors a and b.
Then, a . b = |a| |b| cos θ
2√3 = √3 * 4 * cos θ
cos θ = 2√3 / (4√3) = 1/2
θ = π/3 (Option d)

Given that, |a| = √3, |b| = 4 and a . b = 2√3.
Let θ be the angle between vectors a and b.
Then, a . b = |a| |b| cos θ
2√3 = √3 * 4 * cos θ
cos θ = 2√3 / (4√3) = 1/2
θ = π/3 (Option d)

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