Moderate

The angle between the vectors in the following question is:

Correct answer: A.

  • A.
  • B. 30°
  • C. 60°
  • D. 90°

Explanation

The following is the solution: Dot product of two vectors A and B is given as: A.B = |A|*|B|* cosθ where θ is the angle between A and B. From this, we can say, cosθ=A.B/|A|∗|B| Let A= 2i+3j+k and B = 4i+6j-k so A.B/|A|∗|B| = 90 cosθ=90, which implies that θ=0.

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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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