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Two nonzero vectors have a scalar product of zero when they are:

AAntiparallel
BCollinear
CCoincident
DPerpendicular
Answer & Solution
Correct answer: D. Perpendicular
1. The dot product carries a factor of the cosine of the angle between them. 2. That cosine is zero when the angle is a right angle. 3. So the scalar product vanishes when the vectors are perpendicular. _Source: syllabus Mathematics Part II, Chapter 10, Vector Algebra._
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