The dot product of two vectors is negative when
Correct answer: B. They are anti-parallel vectors
- A. They are parallel vectors
- B. They are anti-parallel vectors
- C. They are perpendicular vectors
- D. None of the above is correct
Explanation
The dot product of two vectors is negative when the angle θ between them is greater than 90 degrees (obtuse angle). In mathematical terms, if A.B < 0 it implies that the cosine of the angle θ is negative.
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About Vectors and Equilibrium
Vectors have magnitude and direction, unlike scalars, and are combined by head-to-tail or parallelogram methods. Work covers rectangular components, equilibrium when the resultant force is zero, the scalar product for work and projections, and the vector product for torque and cross-product direction using the right-hand rule.
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