ot all lie on the same straight line. be the midpoints of the line-segments BC, AC, AB at with position vector ; a+ b t with position vector a + b+ c 2 4

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.4: Vectors In Three Dimensions
Problem 1E: A vector in three dimensions can be written in either of two forms: in coordinate form as v=a1,a2,a3...
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Let A, B, C be three points with position vectors a, b, c respectively. You may assume that the three points A
B, C do not all lie on the same straight line.
Let D, E, F be the midpoints of the line-segments BC, AC, AB respectively.
The point with position vector ; a+ b
Choose...
v Choose...
The point with position vector
a +
4
b+ {c
is the point E
The point with position vector (a+b+c)
lies on AD but not on BE
is the point F
Previous page
kt pa
lies on AD as well as on BE
lies on BE but not on AD
Transcribed Image Text:Let A, B, C be three points with position vectors a, b, c respectively. You may assume that the three points A B, C do not all lie on the same straight line. Let D, E, F be the midpoints of the line-segments BC, AC, AB respectively. The point with position vector ; a+ b Choose... v Choose... The point with position vector a + 4 b+ {c is the point E The point with position vector (a+b+c) lies on AD but not on BE is the point F Previous page kt pa lies on AD as well as on BE lies on BE but not on AD
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