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(7, 0, 0), B(7, 17, 0), C(0, 17, 7),andD(0, 0, 7)as in the figure. 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(7, 0, 0), B(7, 17, 0), C(0, 17, 7), and D(0, 0, 7) as in the figure.C(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]).%D111ki +j+3S =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 and s and the angleof elevation are complementary.)

In this question, the concept of cross-product is applied. Cross Product The method of…

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l is mounted on the roof of a house. The panel may be regarded as positioned at the points of coordinates (in meters)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.3: Vectors

Problem 48E

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Question

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(7, 0, 0),

B(7, 17, 0),

C(0, 17, 7),

and

D(0, 0, 7)

as in the figure.

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(7, 0, 0), B(7, 17, 0), C(0, 17, 7), and D(0, 0, 7) as in the figure.
C
(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]).
%D
1
1
1
k
i +
j+
3
S =
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 and s and the angle
of elevation are complementary.)

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