Addition of Vectors using a scale diagram

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SUMMARY

The discussion focuses on the addition of vectors C and D using a scale diagram method. Vector C is 28 km at 20 degrees north of east, while vector D is 34 km at 30 degrees west of north. The correct approach involves drawing the vectors head-to-tail rather than attempting to form a right triangle. By selecting a scale of 1 cm to represent 1 km, users can accurately depict the vectors and measure the resultant vector's length and angle.

PREREQUISITES
  • Understanding of vector representation and direction
  • Familiarity with the Pythagorean theorem
  • Proficiency in using a ruler and protractor
  • Basic knowledge of trigonometry for angle measurement
NEXT STEPS
  • Learn about vector addition techniques in physics
  • Explore graphical methods for vector representation
  • Study the use of protractors in angle measurement
  • Investigate the application of scale diagrams in physics problems
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Students studying physics, particularly those learning about vector addition, as well as educators looking for effective teaching methods for vector concepts.

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Homework Statement


Add each set of vectors by using the scale diagram

C=28km 20 degrees north of east; D=34 km 30 degrees west of north


Homework Equations





The Attempt at a Solution


Attempted to create a triangle with a right angle; then Pythagorean
 
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The vectors do not form a right-angle between themselves.
You need to draw them head-to-tail.

Pick a scale, say 1cm=1km, and mark a point on your paper as the starting point and a direction for north.

Draw the vector C from the dot - use a ruler and protractor to draw it to the right length and angle - it should look like an arrow pointing away from the start point. Then draw vector D, starting at the head of vector C you just drew.

Nor draw an arrow that goes from the start point to the head of D - that is the vector sum of the other two. Measure the length and angle of this one.
 

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