Two vectors of magnitude A1 and A2 inclined at each other at an angle θ have resultant of magnitude equal to:
Correct answer: A. Option A
- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation
The following is the solution: When two vectors of magnitudes A1 and A2 are inclined at an angle θ, the magnitude of their resultant can be found using the formula: |Resultant| = √(A12 + A22 + 2A1A2cosθ) This formula combines the magnitudes of the individual vectors, their angles, and the cosine of the angle between them.
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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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