Suppose that vector R models the amount of rainfall in inches and the direction it
Chapter 7, Problem 69(choose chapter or problem)
Suppose that vector R models the amount of rainfall in inches and the direction it falls, and vector A models the area in square inches and the orientation of the opening of a rain gauge, as illustrated in the figure. The total volume V of water collected in the rain gauge is given by V = + R # A +. This formula calculates the volume of water collected even if the wind is blowing the rain in a slanted direction or the rain gauge is not exactly vertical. Let R = i - 2j and A = 0.5i + j. (a) Find + R + and + A + to the nearest tenth. Interpret the results. (b) Calculate V to the nearest tenth, and interpret this result.
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