McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
7. Vectors
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Exercise 13 Page 687

Choose an appropriate scale and use it to draw an arrow presenting the given vector.

Example Answer:

Practice makes perfect
We are asked to draw the vector n that represents 8 meters at an angle of 24^(∘) west of south. First, we will choose the scale. For example, we will use 1 cm:2 meters. Using this scale, we can evaluate the length of our vector. 8/2=4 In our diagram n will have a length of 4 centimeters. Since we are given that our vector is 24^(∘) west of south, we will draw a segment that satisfies this condition. To do this, we will put a protractor in the center point along the north-south line and find the appropriate angle on the west side.

Next, we will use a ruler to find the point that lies on the red segment and is 4 centimeters from the center point.

Finally, we will connect the points with a ray. This ray will represent the vector n.

Remember to include a scale on the diagram.