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Vector Resolution Worksheet

Worksheet · Grade 12 · English

Vector Resolution Worksheet

Diagram Labelling

  1. [Image: A vector at an angle θ to the horizontal, with its horizontal (adjacent) and vertical (opposite) components shown as arrows, and the angle θ marked at the base]
Label the following on the diagram:
  • The original vector (
    
    )
  • The horizontal component (
    
    )
  • The vertical component (
    
    )
  • The angle
    
  1. [Image: Two vectors shown: one resolved into components along the x-axis and y-axis, with the axes labelled]
Label the following:
  • x-axis
  • y-axis
  • The resolved component along the x-axis
  • The resolved component along the y-axis

Matching Questions

Match each term to its correct definition. Write the letter of the definition next to the correct term.
Terms: A. Resultant Vector B. Component C. Resolution of a Vector D. Equilibrant
Definitions:
  1. _____ The process of breaking a single vector into two or more vectors along specified directions.
  1. _____ A vector that has the same magnitude as the resultant but acts in the opposite direction.
  1. _____ The sum of two or more vectors.
  1. _____ A part of a vector that acts in a particular direction, such as horizontal or vertical.

Fill-in-the-Gaps

[Word Bank: magnitude, direction, trigonometry, perpendicular, resultant, sine, cosine, adjacent, opposite]
  1. The process of vector resolution involves splitting a vector into two _______ components.
  1. The horizontal component of a vector can be found using the _______ of the angle.
  1. The vertical component of a vector is calculated using the _______ of the angle.
  1. To resolve a vector, you need to know its _______ and _______.
  1. The _______ of a vector is the single vector that has the same effect as the original vectors combined.
  1. Vector components are always _______ to each other.
A diagram showing a vector at an angle with its horizontal and vertical components and the angle theta marked.

A diagram showing a vector resolved into x and y components with axes labelled.