Suppose the equation ax + by = c corresponds to the vector (a, b, c). To what equation will (-3,3,-4) correspond? -3x+3y= -4 To what equation will (-5, 3,-5) correspond? -5x+3y=-5 Suppose we define multiplication of vectors componentwise. Then (-3,3,-4) x (-5,3,-5)= (15,9,20) To what equation will (15, 9, 20) correspond? 15x+9y= 20 0 0° Part 1 of 4 Part 2 of 4 Part 3 of 4 Part 4 of 4 If a vector corresponds to an equation, will the componentwise product of two vectors correspond to the product of the two equations? Yes O No Cannot Be Determined Submit Question Based on the preceding, is there any significance to the componentwise product of vectors? Defend your conclusion.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Suppose the equation ax + by = c corresponds to the vector (a, b, c).
To what equation will (-3,3,-4) correspond? -3x+3y= -4
To what equation will (-5, 3,-5) correspond? -5x+3y=-5
Suppose we define multiplication of vectors componentwise.
Then (-3,3,-4) x (-5,3,-5)= (15,9,20)
To what equation will (15, 9, 20) correspond? 15x+9y= 20
0
0°
Part 1 of 4
Part 2 of 4
Part 3 of 4
Part 4 of 4
If a vector corresponds to an equation, will the componentwise product of two vectors correspond to the
product of the two equations?
Yes
O No
Cannot Be Determined
Submit Question
Based on the preceding, is there any significance to the componentwise product of vectors? Defend your
conclusion.
Transcribed Image Text:Suppose the equation ax + by = c corresponds to the vector (a, b, c). To what equation will (-3,3,-4) correspond? -3x+3y= -4 To what equation will (-5, 3,-5) correspond? -5x+3y=-5 Suppose we define multiplication of vectors componentwise. Then (-3,3,-4) x (-5,3,-5)= (15,9,20) To what equation will (15, 9, 20) correspond? 15x+9y= 20 0 0° Part 1 of 4 Part 2 of 4 Part 3 of 4 Part 4 of 4 If a vector corresponds to an equation, will the componentwise product of two vectors correspond to the product of the two equations? Yes O No Cannot Be Determined Submit Question Based on the preceding, is there any significance to the componentwise product of vectors? Defend your conclusion.
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