Mathematics · 3D Geometry
Given two lines in 3D space represented by r = a + λb and r = c + μd, where a, b, c, and d are constant vectors. These lines are skew lines when:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1b and d are parallel vectors.
- 2a and c are collinear vectors.
- 3b × d is non-zero and (a - c) · (b × d) is non-zero.✓
- 4b × d is non-zero and (a - c) · (b × d) is zero.
Correct answer
b × d is non-zero and (a - c) · (b × d) is non-zero.
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