m = b If a = OA and b OB, prove that OP P = n na +mb m+n B

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.2: Length And Angle: The Dot Product
Problem 2AEXP
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The diagram below shows a vector AB and a point P that divides AB in a ratio m:n.
If a
=
y
A
OA and b
=
m
b
OB, prove that OP
P
=
n
na +mb
m+n
B
X
Transcribed Image Text:The diagram below shows a vector AB and a point P that divides AB in a ratio m:n. If a = y A OA and b = m b OB, prove that OP P = n na +mb m+n B X
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