Let A(x,y,,z) and B(x,,y2; z,) be two known 3D points. The point M on the line AB divides the vector AB into two parts, i.e.., AM and MB . AM and MB satisfy AM / MB = 1 where (1±-1) is a real number. Try to use A and B to express the coordinates of the point M.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.6: Equations Of Lines And Planes
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Let A(x,y,,z) and B(x,,y2; z,) be two known 3D points. The point M on the
line AB divides the vector AB into two parts, i.e.., AM and MB . AM and MB
satisfy AM / MB = 1 where (1±-1) is a real number. Try to use A and B to
express the coordinates of the point M.
Transcribed Image Text:Let A(x,y,,z) and B(x,,y2; z,) be two known 3D points. The point M on the line AB divides the vector AB into two parts, i.e.., AM and MB . AM and MB satisfy AM / MB = 1 where (1±-1) is a real number. Try to use A and B to express the coordinates of the point M.
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