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 Cand D such that the vectors represented by BE and EC are orthogonal to each other. Let e be the position vector of E. r = a + X(c – d) is Choose... The vectors represented by AB and DC are Choose... (b — а) x (d — е) is Choose...

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 abcd respectively such that b−a=2(c−d)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⟶BE⟶ and  EC⟶EC⟶ are orthogonal to each other. Let e be the position vector of E.

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.
r = a + X(c - d) is
Choose...
The vectors represented by AB and DC are
Choose...
(Ь — а) х (d-е) is
Choose...
(Ъ — е) (d — c) is
Choose...
(Ь — а) (с — d) is
Choose...
The vectors represented by BE and DE are
Choose...
(г - с) (b —е) — 0is
Choose...
is
Choose...
e x (b. c) is
Choose...
b+2d
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. r = a + X(c - d) is Choose... The vectors represented by AB and DC are Choose... (Ь — а) х (d-е) is Choose... (Ъ — е) (d — c) is Choose... (Ь — а) (с — d) is Choose... The vectors represented by BE and DE are Choose... (г - с) (b —е) — 0is Choose... is Choose... e x (b. c) is Choose... b+2d Choose...
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