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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Options to choose from:
the position
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
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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