Question Detail
Question
Given two vectors A = 2i + 3j + 4k and B = i - 2j + 3k. What is the magnitude of each vector?
Correct Answer
Option C is the correct answer.
Detailed Explanation
The magnitude of a vector is given by √(x² + y² + z²). For A: |A| = √(2² + 3² + 4²) = √(4 + 9 + 16) = √29 ≈ 5.385. For B: |B| = √(1² + (-2)² + 3²) = √(1 + 4 + 9) = √14 ≈ 3.742. These round to 5.4 and 3.7 respectively.
Hint
Magnitude = √(x² + y² + z²) for a 3D vector.