Let we have a vector F, then its horizontal component is written as:
Correct answer: B. FX = |F|cosθ i
- A. FX = |F|sinθ i
- B. FX = |F|cosθ i
- C. FX = |F|cosθ j
- D. FY = |F|cosθ i
Explanation
The correct answer is Option B: Fx = |F|cosθ. This formula defines the horizontal component of a vector as the magnitude of the vector times the cosine of the angle between the vector and the positive x-axis. Using sinθ, tanθ, or secθ in place of cosθ would result in incorrect calculations for the horizontal component.
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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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