The amount of energy collected by a solar panel depends on

Chapter 9, Problem 27

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The amount of energy collected by a solar panel depends on the intensity of the suns rays and the area of the panel. Let the vector I represent the intensity, in watts per square centimeter, having the direction of the suns rays. Let the vector A represent the area, in square centimeters, whose direction is the orientation of a solar panel. See the figure. The total number of watts collected by the panel is given by W = 0I # A 0 . A I Suppose that I = 8 -0.02, -0.019 and A = 8300, 4009. (a) Find 7I7 and 7 A 7 and interpret the meaning of each. (b) Compute W and interpret its meaning. (c) If the solar panel is to collect the maximum number of watts, what must be true about I and A?

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