Mathematics · Vector Algebra identities
Which of the following mathematical statements regarding vectors a and b is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1(a × b) 2 = (a) 2 (b) 2 - (a · b) 2✓
- 2(a × b) 2 = (a) 2 (b) 2 + (a · b) 2
- 3If |a + b| = |a - b| ⇒ a and b are not perpendicular
- 4If a and b are unit vectors and θ is the angle between them, then cos(θ/2) = (1/2)|a - b|
Correct answer
(a × b) 2 = (a) 2 (b) 2 - (a · b) 2
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