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(9, 0, 0), 8(9, 19, 0), C(0, 19, 9), and D(0, 0, 9) as in the figure. (a) Find vector n = AB x AD perpendicular to the surface of the solar panels. Express your answer using standard unit vectors. n = (b) Assume the unit vector s, given below, points toward the Sun at a particular time of the day and the flow of solar energy is F = 900s (in watts per square meter [W/m²]). S= x + + Find the predicted amount of electrical power the panel can produce, which is given by the dot product of vectors F and n (expressed in watts). (Round your answer to two decimal places.) W (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 n ands and the angle of elevation are complementary.)
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(9, 0, 0), 8(9, 19, 0), C(0, 19, 9), and D(0, 0, 9) as in the figure. (a) Find vector n = AB x AD perpendicular to the surface of the solar panels. Express your answer using standard unit vectors. n = (b) Assume the unit vector s, given below, points toward the Sun at a particular time of the day and the flow of solar energy is F = 900s (in watts per square meter [W/m²]). S= x + + Find the predicted amount of electrical power the panel can produce, which is given by the dot product of vectors F and n (expressed in watts). (Round your answer to two decimal places.) W (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 n ands 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
Section: Chapter Questions
Problem 1RQ
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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(9, 0, 0), B(9, 19, 0), C(0, 19, 9), and D(0, 0, 9) as in the figure.
(a) Find vector n = AB x AD perpendicular to the surface of the solar panels. Express your answer using standard unit vectors.
n =
X
B
(b) Assume the unit vector s, given below, points toward the Sun at a particular time of the day and the flow of solar energy is F = 900s (in watts per square meter [W/m²]).
+37² j+
√3
k
Find the predicted amount of electrical power the panel can produce, which is given by the dot product of vectors F and n (expressed in watts). (Round your answer to two decimal places.)
W
(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
of elevation are complementary.)
ands and the angle](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbf4e9f68-b5eb-4a27-ae76-fd0a8c3d58af%2Fd62fec6e-0b81-47ea-a7dd-fc206884dd0e%2Fnjkdgt9_processed.jpeg&w=3840&q=75)
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(9, 0, 0), B(9, 19, 0), C(0, 19, 9), and D(0, 0, 9) as in the figure.
(a) Find vector n = AB x AD perpendicular to the surface of the solar panels. Express your answer using standard unit vectors.
n =
X
B
(b) Assume the unit vector s, given below, points toward the Sun at a particular time of the day and the flow of solar energy is F = 900s (in watts per square meter [W/m²]).
+37² j+
√3
k
Find the predicted amount of electrical power the panel can produce, which is given by the dot product of vectors F and n (expressed in watts). (Round your answer to two decimal places.)
W
(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
of elevation are complementary.)
ands and the angle
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