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is the distance from the point E to the plane N is a vector equation for the line where M and N intersect is the distance from the point B to the point E is a real number less than 0 is the position vector of a point that lies on N but not on M is the equation of the plane M is a vector equation for a line that is contained in M but not in N is the position vector of a point that lies on M but not on N is the position vector for the midpoint of the line segment AE is the position vector of a point that lies neither on N nor on M is a vector equation for a line that intersects M at exactly one point is a meaningless expression

is the distance from the point E to the plane N is a vector equation for the line where M and N intersect is the distance from the point B to the point E is a real number less than 0 is the position vector of a point that lies on N but not on M is the equation of the plane M is a vector equation for a line that is contained in M but not in N is the position vector of a point that lies on M but not on N is the position vector for the midpoint of the line segment AE is the position vector of a point that lies neither on N nor on M is a vector equation for a line that intersects M at exactly one point is a meaningless expression

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter1: Solving Linear Equations
Section: Chapter Questions
Problem 15CT
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This is a long question i dont mind if this can somehow be counted as multiple questions

Let A, B, C, D be distinct points in 3-space with position vectors a, b, c, d respectively. Let E be the midpoint of the line segment AC.

Let M be the plane passing through the three points A,B,C and let N be the plane passing through the three points A,C,D. Assume that the points are chosen so that M and N are distinct, well-defined planes.

There is a list of expressions/equations attatched and they need to be matched to their values which are also attatched.

 

is the distance from the point E to the plane N is a vector equation for the line where M and N intersect is the distance from the point B to the point E is a real number less than 0 is the position vector of a point that lies on N but not on M is the equation of the plane M is a vector equation for a line that is contained in M but not in N is the position vector of a point that lies on M but not on N is the position vector for the midpoint of the line segment AE is the position vector of a point that lies neither on N nor on M is a vector equation for a line that intersects M at exactly one point is a meaningless expression
Transcribed Image Text:is the distance from the point E to the plane N is a vector equation for the line where M and N intersect is the distance from the point B to the point E is a real number less than 0 is the position vector of a point that lies on N but not on M is the equation of the plane M is a vector equation for a line that is contained in M but not in N is the position vector of a point that lies on M but not on N is the position vector for the midpoint of the line segment AE is the position vector of a point that lies neither on N nor on M is a vector equation for a line that intersects M at exactly one point is a meaningless expression
r = d + X(b - d) atbte 3 2b-a-c 2 r = a+ X(c-a) r = a+ X(b-a) b+d 2 a+d 2 ((b-a) × (c-a)) + a·d 3a+c 4 0
Transcribed Image Text:r = d + X(b - d) atbte 3 2b-a-c 2 r = a+ X(c-a) r = a+ X(b-a) b+d 2 a+d 2 ((b-a) × (c-a)) + a·d 3a+c 4 0
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