Two vectors of magnitudes A1 and A2 acting at right angles to each other have the resultant of magnitude:
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 act at right angles to each other, the magnitude of their resultant can be found using the Pythagorean theorem. It states that the magnitude of the resultant vector is equal to the square root of the sum of the squares of the magnitudes of the individual vectors. So, the magnitude of the resultant vector (R) can be calculated as: R = √(A₁² + A₂²)
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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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