the scalar product obeys the distributive law [ A → ⋅ ( B → + C → ) = A → ⋅ B → + A → ⋅ C → ] .

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= = You are preparing your house for a party with your classmates and friends, and want to set up an impressive light display to entertain them. From your study of fluids, you have come up with the idea based on the water flowing from the tank in the figure. You set up the tank as shown in the figure, filled to a depth h 1.15 m, and sitting on a stand of height { 0.300 m. You punch a hole in the tank at a height of Y1 = 0.102 m above the stand. (Ignore the thickness of the tank in your calculation.) You want to punch a second hole higher on the tank so that the streams of water from the two holes arrive at the same position on the table, in a catch basin at a distance d from the right edge of the stand. A pump will continuously carry water from the catch basin back up to the top of the tank to keep the water level fixed. Then, you will use laser pointers on the left side of the tank to light the two streams of water, which will capture the light (see the section on total internal…

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Chapter 6, Problem 19E

To determine

To show: the scalar product obeys the distributive law [A→⋅(B→+C→)=A→⋅B→+A→⋅C→] .

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= = You are preparing your house for a party with your classmates and friends, and want to set up an impressive light display to entertain them. From your study of fluids, you have come up with the idea based on the water flowing from the tank in the figure. You set up the tank as shown in the figure, filled to a depth h 1.15 m, and sitting on a stand of height { 0.300 m. You punch a hole in the tank at a height of Y1 = 0.102 m above the stand. (Ignore the thickness of the tank in your calculation.) You want to punch a second hole higher on the tank so that the streams of water from the two holes arrive at the same position on the table, in a catch basin at a distance d from the right edge of the stand. A pump will continuously carry water from the catch basin back up to the top of the tank to keep the water level fixed. Then, you will use laser pointers on the left side of the tank to light the two streams of water, which will capture the light (see the section on total internal…

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