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.)
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
Section: Chapter Questions
Problem 1RQ
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