Let the vector R represent the amount of rainfall, in inches, whose direction is the inclination of the rain to a rain gauge. Let the vector A represent the area, in square inches, whose direction is the orientation of the opening of the rain gauge. See the figure. The volume of rain collected in the gauge, in cubic inches, is given by V = |R•A| even when the rain falls in a slanted direction or the gauge is not perfectly vertical. 

Suppose that R = (0.75, -1.75) and A = (0.3,1). 

(a) Find |R|and |A| and interpret the meaning of each. 

(b) Compute V and interpret its meaning. 

(c) If the gauge is to collect the maximum volume of rain, what must be true about R and A?

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O CON O 5432- OD