Mathematics · Vector Algebra
Analyze the following statements: Assertion (A): The lines r = a1 + λb1 and r = a2 + μb2 are perpendicular when b1 · b2 = 0. Reason (R): The angle θ between the lines r = a1 + λb1 and r = a2 + μb2 is given by cos(θ) = |b1 · b2||b1||b2|.
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1(A) is false and (R) is true.
- 2(A) is true and (R) is false.
- 3Both (A) and (R) are true, but (R) is not the correct explanation of (A).
- 4Both (A) and (R) are true and (R) is the correct explanation of (A).✓
Correct answer
Both (A) and (R) are true and (R) is the correct explanation of (A).
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