$\"\"$

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(a)

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The vectors are $\"\"$ and $\"\"$ .

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Find the values of $\"\"$ and $\"\"$ .

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The magnitude of the vector $\"\"$ is $\"\"$ .

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$\"\"$ and $\"\"$

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$\"\"$ and $\"\"$

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$\"\"$ and $\"\"$ .

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Here, the amount of rain fall $\"\"$ is $\"\"$ inches.

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The area of the rain guage $\"\"$ is $\"\"$ .

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$\"\"$

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(b)

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The vectors are $\"\"$ and $\"\"$ .

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Compute the value of $\"\"$ .

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The dot product of the two vectors $\"\"$ and $\"\"$ is $\"\"$ .

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Compare the vectors with general form.

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$\"\"$ and $\"\"$ .

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$\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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The volume of the rain collected in the guage $\"\"$ is $\"\"$ .

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$\"\"$

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(c)

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If the gauge is to collect the maximum vaolume of the rain , then the amount of rain fall $\"\"$ is maximum and the area of the rain guage $\"\"$ is also maximum.

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$\"\"$

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(a)

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The amount of rain fall $\"\"$ is $\"\"$ inches.

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The area of the rain guage $\"\"$ is $\"\"$ .

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(b)

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The volume of the rain collected in the guage $\"\"$ is $\"\"$ .

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(c)

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If the gauge is to collect the maximum vaolume of the rain , then the amount of rain fall $\"\"$ is maximum and the area of the rain guage $\"\"$ is also maximum.