ABCD is a parallelogram. From Da perpendicular DR is drawn to AC. BN is drawn || to AC to meet DR produced in N. Join AN to intersect BC in P. If DRN cuts BC in Q, prove that (i) P is the mid-point of BQ ; (ii) AR = BN + RC. CONSTRUCTION: Draw BS | AC, then join CN

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
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ABCD is a parallelogram. From D a perpendicular DR is drawn to
AC. BN is drawn || to AC to meet DR produced in N. Join AN to intersect
BC in P. If DRN cuts BC in Q, prove that (i) P is the mid-point of BQ;
(i) AR
CONSTRUCTION: Draw BS 1 AC, then join CN
BN + RC.
Transcribed Image Text:ABCD is a parallelogram. From D a perpendicular DR is drawn to AC. BN is drawn || to AC to meet DR produced in N. Join AN to intersect BC in P. If DRN cuts BC in Q, prove that (i) P is the mid-point of BQ; (i) AR CONSTRUCTION: Draw BS 1 AC, then join CN BN + RC.
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