Mathematics · Inequalities
Using the Cauchy-Schwarz inequality, which of the following is correct for vectors a = (2, 4, 6) and b = (3, 5, 7)?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1(2×3 + 4×5 + 6×7)2 ≥ (22 + 42 + 62)(32 + 52 + 72)
- 2(2×3 + 4×5 + 6×7)3 ≤ (22 + 42 + 62)(32 + 52 + 72)
- 3(2×3 + 4×5 + 6×7)2 ≤ 22 + 42 + 6232 + 52 + 72
- 4(2×3 + 4×5 + 6×7)2 ≤ (22 + 42 + 62)(32 + 52 + 72)✓
Correct answer
(2×3 + 4×5 + 6×7)2 ≤ (22 + 42 + 62)(32 + 52 + 72)
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