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The positions of two villages P and Q from a town O are represented by vectors OP and OQ where OP-p and Q-q as shown in the diagram below. a) Express QP in terms of p and/ q Answer). b) A petrol station, X, is halfway between O and P. Express OX in terms of p and/ q. Answer). c) Another petrol station, Y, is situated along QP such that the ratio of QY:YP-2:3. Express OY in terms of p and/q. .[1] [1] Answer) [2]

The positions of two villages P and Q from a town O are represented by vectors OP and OQ where OP-p and Q-q as shown in the diagram below. a) Express QP in terms of p and/ q Answer). b) A petrol station, X, is halfway between O and P. Express OX in terms of p and/ q. Answer). c) Another petrol station, Y, is situated along QP such that the ratio of QY:YP-2:3. Express OY in terms of p and/q. .[1] [1] Answer) [2]

Linear Algebra: A Modern Introduction
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 positions of two villages P and Q from a town O are represented by vectors OP and OQ where OP-p and Q-q as shown in the diagram below. a) Express QP in terms of p and/ q Answer). b) A petrol station, X, is halfway between O and P. Express OX in terms of p and/ q. Answer). c) Another petrol station, Y, is situated along QP such that the ratio of QY:YP-2:3. Express OY in terms of p and/q. .[1] [1] Answer) [2]
Transcribed Image Text:The positions of two villages P and Q from a town O are represented by vectors OP and OQ where OP-p and Q-q as shown in the diagram below. a) Express QP in terms of p and/ q Answer). b) A petrol station, X, is halfway between O and P. Express OX in terms of p and/ q. Answer). c) Another petrol station, Y, is situated along QP such that the ratio of QY:YP-2:3. Express OY in terms of p and/q. .[1] [1] Answer) [2]
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