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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 – e) · (d – c) is Choose... (b — а) х (d - е) is Choose... (b — а) . (с — d) is 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 – e) · (d – c) is Choose... (b — а) х (d - е) is Choose... (b — а) . (с — d) is 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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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 — е) . (d — с) is Choose... (b — а) х (d — е) is Choose... (b — а) . (с — d) is Choose... (r – c) · (b – e) = 0 is Choose... The vectors represented by AB and DC are Choose... r%3Dа+ 1(с — d) is Choose... a+b Choose... e x (b · c) is Choose... The vectors represented by BE and DE are Choose... b+2d is 3 Choose...
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 BE and EC are orthogonal to each other. Let e be the position vector of E. (b — е) . (d — с) is Choose... (b — а) х (d — е) is Choose... (b — а) . (с — d) is Choose... (r – c) · (b – e) = 0 is Choose... The vectors represented by AB and DC are Choose... r%3Dа+ 1(с — d) is Choose... a+b Choose... e x (b · c) is Choose... The vectors represented by BE and DE are Choose... b+2d is 3 Choose...
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