McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
7. Vectors
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Exercise 14 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 a that represents 32 yards per minute at 78^(∘) to the horizontal. First, we will choose the scale. For example, we will use 1 in.:8 yd per minute. Using this scale, we can evaluate the length of our vector. 32/8=4 In our diagram a will have a length of 4 inches. Since we are given that our vector is 78^(∘) to the horizontal, we will draw a segment that satisfies this condition. To do this, we will draw a horizontal segment, and then put a protractor at the endpoint of this segment and find the appropriate angle on the left side.

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

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

Remember to include a scale on the diagram.