Let a = ci + jand b = 3i + 6j. Find c so that a and b are orthogonal. %3D c = i If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from a point P to the line L is equal to the length of the component of the vector AP that is orthogonal to the vector AB. i. P L A B Use the method above to find the distance from the point P(-3, 1,2) to the line through A(1, 1,0) and B(-2,3, -4). NOTE: Enter the exact answer. Distance =
Let a = ci + jand b = 3i + 6j. Find c so that a and b are orthogonal. %3D c = i If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from a point P to the line L is equal to the length of the component of the vector AP that is orthogonal to the vector AB. i. P L A B Use the method above to find the distance from the point P(-3, 1,2) to the line through A(1, 1,0) and B(-2,3, -4). NOTE: Enter the exact answer. Distance =
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
Related questions
Question
![Let a = ci + j and b = 3i + 6j. Find c so that a and b are orthogonal.
%3D
C =
i
If L is a line in 2-space or 3-space that passes through the points A and
B, then the distance from a point P to the line L is equal to the length
of the component of the vector AP that is orthogonal to the vector AB.
P
A
В
Use the method above to find the distance from the point P(-3,1,2)
to the line through A(1,1,0) and
B(-2,3, –4).
NOTE: Enter the exact answer.
Distance =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F957257ce-f249-4153-8679-86192812400b%2F901d98fc-fc15-4522-9d03-55c554232b2b%2Fjhdjze6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let a = ci + j and b = 3i + 6j. Find c so that a and b are orthogonal.
%3D
C =
i
If L is a line in 2-space or 3-space that passes through the points A and
B, then the distance from a point P to the line L is equal to the length
of the component of the vector AP that is orthogonal to the vector AB.
P
A
В
Use the method above to find the distance from the point P(-3,1,2)
to the line through A(1,1,0) and
B(-2,3, –4).
NOTE: Enter the exact answer.
Distance =
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