Question Detail

PHY 101 PHY 101 Past Questions Objective Question

Question

Vectors A and B are given as A = 3i + 4j - 2k and B = 2i - 6j + 3k. What is the angle between vectors A and B?
Options
A 134.4°
B 73.4°
C 45.6°
D 129.5°
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

A·B = -24, |A| = √29, |B| = 7. cosθ = -24/(7√29) ≈ -0.637. θ ≈ 129.5°.

Hint

Use A·B = |A||B|cosθ.

Question Info