Home › CBSE Class 12 › Mathematics › Vectors & 3D Geometry › Two nonzero vectors have a scalar product of zer…
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: NCERT Class 12 Mathematics Part II, Chapter 10, Vector Algebra._
Related questions
The vector product of two vectors gives a:The dot product of two vectors returns a:Vectors that may be shifted parallel without change are called:The triangle law and the parallelogram law of addition are:Two vectors on adjacent sides of a parallelogram add along the:The relation AC = AB + BC states the:A vector equal in size but opposite in direction is the:Vectors parallel to the same line are called: