2. In a cube ABCDA'B'C'D' (point A' is above point A) let d = AB, b = AD and 7 = AA. Point T lays on the line segment AB so that |AT| |TB| = 1:3, point P divides the line segment B'C' so that B'P: B'C' = 1:5 and point S is the intersection of space diagonals (i.e. segments AC and BD'). day olibsnimox om te (a) Write vectors D'T and SP as a linear combination of vectors spoblev stilige S , and

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter1: Line And Angle Relationships
Section1.6: Relationships: Perpendicular Lines
Problem 27E
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2. In a cube ABCDA'B'C'D' (point A' is above point A) let a = AB, 6 = AD and 7 = AA. Point
T lays on the line segment AB so that |AT| |TB| = 1:3, point P divides the line segment B'C'
so that B'P: B'C' = 1:5 and point S is the intersection of space diagonals (i.e. segments AC"
and BD').
notalay ojibsnidmox om1s9nil tool
(a) Write vectors D'T and SP as a linear combination of vectors, and 7.
sinoblev stičiqsS
stolo
(b) Find the ratio |CR| RB', if R is the intersection of line segments CB' and BP.
Hint: Express the vector CR as a linear combination of d, and in two ways.
Transcribed Image Text:2. In a cube ABCDA'B'C'D' (point A' is above point A) let a = AB, 6 = AD and 7 = AA. Point T lays on the line segment AB so that |AT| |TB| = 1:3, point P divides the line segment B'C' so that B'P: B'C' = 1:5 and point S is the intersection of space diagonals (i.e. segments AC" and BD'). notalay ojibsnidmox om1s9nil tool (a) Write vectors D'T and SP as a linear combination of vectors, and 7. sinoblev stičiqsS stolo (b) Find the ratio |CR| RB', if R is the intersection of line segments CB' and BP. Hint: Express the vector CR as a linear combination of d, and in two ways.
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