(4) You are doing some calculations about a solar panel on the roof of a house as shown in the image below. To help you with your work, you have determined the components for two vectors ā = (-10,0, 6) and b = (0, 4, 0) on the solar panel. Additionally, the current position of the sun means that the sunshine is coming at a direction given by the unit vector 5= ( ,1 2 2, (a) Find a unit vector i that is normal (orthogonal) to the solar panel. This vector represents the direction where maximum sunlight is absorbed.

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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You are doing some calculations about a solar panel on the roof of a house as shown in the image below. To help you with your work, you have determined the components for two vectors a=<-10,0,6> and vector b=<0,4,0> on the solar panel. Additionally, the current position of the sun means that the sunshine is coming at a direction given by the unit vector s=<1/3,2/3,-2/3>

*I hope you answer all question and wrote detail 

1 2
2.
(b) Determine how much of the sunlight s = (-) is pointing in the direction of greatest
3'3
solar power.
(c) What do you think your solution to (b) means in context of the solar panels?
(d) What would you do to find a vector that represents the sunlight that is pointing in the
direction of greatest solar power? You do not need to find the vector, just explain the
process or write out the computation you would complete.
Transcribed Image Text:1 2 2. (b) Determine how much of the sunlight s = (-) is pointing in the direction of greatest 3'3 solar power. (c) What do you think your solution to (b) means in context of the solar panels? (d) What would you do to find a vector that represents the sunlight that is pointing in the direction of greatest solar power? You do not need to find the vector, just explain the process or write out the computation you would complete.
(4) You are doing some calculations about a solar panel on the roof of a house as shown in the
image below. To help you with your work, you have determined the components for two vectors
ā = (-10,0, 6) andb = (0,4, 0) on the solar panel. Additionally, the current position of the sun
means that the sunshine is coming at a direction given by the unit vector 5 = (3
,1 2
3'3
(a) Find a unit vector ī that is normal (orthogonal) to the solar panel. This vector represents
the direction where maximum sunlight is absorbed.
If your solution vector has a positive z component, change the signs of all of the components so
that the vector is pointing the opposite direction (into the solar panel rather than away from it).
Transcribed Image Text:(4) You are doing some calculations about a solar panel on the roof of a house as shown in the image below. To help you with your work, you have determined the components for two vectors ā = (-10,0, 6) andb = (0,4, 0) on the solar panel. Additionally, the current position of the sun means that the sunshine is coming at a direction given by the unit vector 5 = (3 ,1 2 3'3 (a) Find a unit vector ī that is normal (orthogonal) to the solar panel. This vector represents the direction where maximum sunlight is absorbed. If your solution vector has a positive z component, change the signs of all of the components so that the vector is pointing the opposite direction (into the solar panel rather than away from it).
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