The amount of energy collected by a solar panel depends on the intensity of the sun's rays and the area of the panel. Let the vector I represent the intensity, in watts per square centimeter, having the direction of the sun's 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=II A. Suppose that I = (-0.04,-0.03) and A= (450,600). (a) Find 1 and A, 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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The amount of energy collected by a solar panel depends on the intensity of the sun's rays and the area of the panel. Let
the vector I represent the intensity, in watts per square centimeter, having the direction of the sun's 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=11 Al. Suppose that I = (-0.04,-0.03) and A = (450,600).
(a) Find 1 and ||A||, 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?
(a) Find and interpret the meaning of ||||. Select the correct choice below and fill in the answer box to complete your choice.
W/cm², represents the direction of the intensity of the sun's rays.
W/cm², represents the magnitude of the intensity of the sun's rays.
(Type an integer or decimal rounded to three decimal places as needed.)
Find A and interpret the meaning of ||A||. Select the correct choice below and fill in the answer box to complete your choice.
O A.
OB.
OA. ||A|| =
cm², and represents the magnitude of the area of the solar panel.
OB. ||A|| =
cm², and represents the direction of the solar panel.
(b) Compute W and interpret the meaning of W. Select the correct choice below and fill in the answer box to complete your choice.
OA. W=watts, and represents the amount of energy collected by the solar panel.
OB. W=
watts, and represents the amount of energy dissipated by the solar panel.
(c) If the solar panel is to collect the maximum number of watts, what must be true about I and A?
A
Transcribed Image Text:The amount of energy collected by a solar panel depends on the intensity of the sun's rays and the area of the panel. Let the vector I represent the intensity, in watts per square centimeter, having the direction of the sun's 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=11 Al. Suppose that I = (-0.04,-0.03) and A = (450,600). (a) Find 1 and ||A||, 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? (a) Find and interpret the meaning of ||||. Select the correct choice below and fill in the answer box to complete your choice. W/cm², represents the direction of the intensity of the sun's rays. W/cm², represents the magnitude of the intensity of the sun's rays. (Type an integer or decimal rounded to three decimal places as needed.) Find A and interpret the meaning of ||A||. Select the correct choice below and fill in the answer box to complete your choice. O A. OB. OA. ||A|| = cm², and represents the magnitude of the area of the solar panel. OB. ||A|| = cm², and represents the direction of the solar panel. (b) Compute W and interpret the meaning of W. Select the correct choice below and fill in the answer box to complete your choice. OA. W=watts, and represents the amount of energy collected by the solar panel. OB. W= watts, and represents the amount of energy dissipated by the solar panel. (c) If the solar panel is to collect the maximum number of watts, what must be true about I and A? A
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