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Let A, B, C, D be points in 3-space with position vectors a, b, c, d respectively such that b – a = 2(c – d). Assume that the points A, B, C, D are distinct and do not all lie on the - same line. Let E be the point on the line passing through C and D such that the vectors represented by BE and EC are orthogonal to each other. Let e be the position vector of E. (b — а) (с — d) is Choose... (b – a) × (d – e) is Choose... is a+b 2 Choose... e x (b: с) is Choose... The vectors Choose... represented by BE and DE are (r – c) · (b – e) = 0 Choose... is r = a + 1(c – d) is Choose... The vectors Choose... -> represented by AB and DC are (b — е) : (d — c) is - Choose... b+2d is 3 Choose...

Let A, B, C, D be points in 3-space with position vectors a, b, c, d respectively such that b – a = 2(c – d). Assume that the points A, B, C, D are distinct and do not all lie on the - same line. Let E be the point on the line passing through C and D such that the vectors represented by BE and EC are orthogonal to each other. Let e be the position vector of E. (b — а) (с — d) is Choose... (b – a) × (d – e) is Choose... is a+b 2 Choose... e x (b: с) is Choose... The vectors Choose... represented by BE and DE are (r – c) · (b – e) = 0 Choose... is r = a + 1(c – d) is Choose... The vectors Choose... -> represented by AB and DC are (b — е) : (d — c) is - Choose... b+2d is 3 Choose...

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Options to choose from: 

the position vector of the midpoint of the line segment AB

a real number less than 0

a vector equation for the line that passes through C and D

a vector equation for a plane passing through D

a meaningless expression

orthogonal

the zero vector

a real number greater than 0

a vector equation for the line that passes through A and B

the position vector of the point where the line segments AC and BD intersect

parallel

a vector equation for a plane passing through A

a vector equation for the line that passes through A and C

the real number 0

Let A, B, C, D be points in 3-space with position vectors a, b, c, d respectively such that b – a = 2(c – d). Assume that the points A, B, C, D are distinct and do not all lie on the same line. Let E be the point on the line passing through C and D such that the vectors represented by ВЕ and EC are orthogonal to each other. Let e be the position vector of E. (b — а) (с — d) is Choose... (b — а) х (d — е) is Choose... is a+b 2 Choose... еx (b : c) is Choose... The vectors Choose... represented by BE and DE are (r – c) · (b – e) = 0 | Choose... is r = a + 1(c – d) is Choose... The vectors Choose... represented by AB and DC are (b — е) (d — c) is Choose... b+2d D+24 is Choose... 3
Transcribed Image Text:Let A, B, C, D be points in 3-space with position vectors a, b, c, d respectively such that b – a = 2(c – d). Assume that the points A, B, C, D are distinct and do not all lie on the same line. Let E be the point on the line passing through C and D such that the vectors represented by ВЕ and EC are orthogonal to each other. Let e be the position vector of E. (b — а) (с — d) is Choose... (b — а) х (d — е) is Choose... is a+b 2 Choose... еx (b : c) is Choose... The vectors Choose... represented by BE and DE are (r – c) · (b – e) = 0 | Choose... is r = a + 1(c – d) is Choose... The vectors Choose... represented by AB and DC are (b — е) (d — c) is Choose... b+2d D+24 is Choose... 3
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