4. ABP is a triangle, M is a point on AP. AB = a, AM = 26, and MP = b. N is the midpoint of BP. C is the point such that AB = BC. a) Write vector PB in terms of a and b. I M A b) Using a vector method, prove that M, N, and C lie on the same line. B

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter1: Vectors
Section1.2: Length And Angle: The Dot Product
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4. ABP is a triangle, M is a point on AP. AB = a, AM = 26, and MP = b.
N is the midpoint of BP. C is the point such that AB = BC.
a) Write vector PB in terms of a and b.
I
M
A
b) Using a vector method, prove that M, N, and C lie on the same line.
Transcribed Image Text:4. ABP is a triangle, M is a point on AP. AB = a, AM = 26, and MP = b. N is the midpoint of BP. C is the point such that AB = BC. a) Write vector PB in terms of a and b. I M A b) Using a vector method, prove that M, N, and C lie on the same line.
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