Given |a| = 5, |b| = 12, and a.b = 0. Find |a + b|.
Given |a| = 5, |b| = 12, and a.b = 0. Find |a + b|.
- A. 17
- B. 7
- C. 13
- D. 60
Answer: C) 13
Explanation: Since a.b = 0, vectors a and b are perpendicular. |a + b| = √(|a|² + |b|² + 2a.b) = √(25 + 144 + 0) = √169 = 13. (Pythagoras theorem).
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