A solar panel is mounted on the roof of a house. The panel may be regarded as positioned at the points of coordinates (in meters) A(3,0,0), B(3,16,0), C(0,16,3), and D(0,0,3) (see the following figure). This figure shows a rectangular set of solar panels on a roof. The corners are labeled "A, B, C, D," and there are vectors drawn from A to D (along the left side of the solar panels) as well as from A to B (along the bottom of the solar panels). D B C a. Find vector n = AB X AD perpendicular to the surface of the solar panels. Express the answer in vector component form. 1 1 b. Assume unit vector 3 = i+ =j+ √√3 W day and the flow of solar energy is F = 600(3) (in watts per square meter [- m² 1). Find the predicted amount of electrical power the panel can produce, which is given by the dot product of vectors and (expressed in watts). 1 k points toward the Sun at a particular time of the c. Determine the angle of elevation of the Sun above the solar panel. Express the answer in degrees rounded to the nearest whole number. (Hint: The angle between vectors and 3 and the angle of elevation are complementary.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A solar panel is mounted on the roof of a house. The panel may be regarded as positioned at the points of
coordinates (in meters) A(3,0,0), B(3,16,0), C(0,16,3), and D(0,0,3) (see the following figure). This figure
shows a rectangular set of solar panels on a roof. The corners are labeled "A, B, C, D," and there are
vectors drawn from A to D (along the left side of the solar panels) as well as from A to B (along the bottom
of the solar panels).
D
B
a. Find vector n = AB × AD perpendicular to the surface of the solar panels. Express the answer in
vector component form.
b. Assume unit vector s
C
1
1
√√3
i+ =j+
√√3
W
day and the flow of solar energy is F = 600(3) (in watts per square meter []). Find the
Add Work
1
k points toward the Sun at a particular time of the
√√3
predicted amount of electrical power the panel can produce, which is given by the dot product of
vectors and (expressed in watts).
Submit Question
c. Determine the angle of elevation of the Sun above the solar panel. Express the answer in degrees
rounded to the nearest whole number. (Hint: The angle between vectors and 3 and the angle of
elevation are complementary.)
Transcribed Image Text:A solar panel is mounted on the roof of a house. The panel may be regarded as positioned at the points of coordinates (in meters) A(3,0,0), B(3,16,0), C(0,16,3), and D(0,0,3) (see the following figure). This figure shows a rectangular set of solar panels on a roof. The corners are labeled "A, B, C, D," and there are vectors drawn from A to D (along the left side of the solar panels) as well as from A to B (along the bottom of the solar panels). D B a. Find vector n = AB × AD perpendicular to the surface of the solar panels. Express the answer in vector component form. b. Assume unit vector s C 1 1 √√3 i+ =j+ √√3 W day and the flow of solar energy is F = 600(3) (in watts per square meter []). Find the Add Work 1 k points toward the Sun at a particular time of the √√3 predicted amount of electrical power the panel can produce, which is given by the dot product of vectors and (expressed in watts). Submit Question c. Determine the angle of elevation of the Sun above the solar panel. Express the answer in degrees rounded to the nearest whole number. (Hint: The angle between vectors and 3 and the angle of elevation are complementary.)
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