If |a + b| = |a − b|, then the vectors a and b are: A. Parallel B. Perpendicular C. Equal D. Collinear Answer: B) Perpendicular Explanation: Squaring both sides: |a|² + |b|² + 2a.b = |a|² + |b|² − 2a.b. This gives 4a.b = 0, so a.b = 0. Thus, a and b are perpendicular.

imo class 12 vector algebra

If |a + b| = |a − b|, then the vectors a and b are:

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If |a + b| = |a − b|, then the vectors a and b are:

Answer: B) Perpendicular

Explanation: Squaring both sides: |a|² + |b|² + 2a.b = |a|² + |b|² − 2a.b. This gives 4a.b = 0, so a.b = 0. Thus, a and b are perpendicular.