Addition of Vectors using a scale diagram

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To add vectors C and D using a scale diagram, first establish a scale, such as 1 cm representing 1 km. Begin by drawing vector C (28 km at 20 degrees north of east) from a starting point, using a ruler and protractor for accuracy. Next, draw vector D (34 km at 30 degrees west of north) starting from the head of vector C. Finally, draw an arrow from the starting point to the head of vector D to represent the resultant vector, and measure its length and angle for the final answer. This method effectively visualizes vector addition through a head-to-tail approach.
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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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