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n this question, the points A, B and C form the vertices of an equilateral triangle whose ides are all of unit length. The points A', B' and C' mark the mid-points of the lines "pposite the vertices A, B and C respectively. B' B The three vectors a, b and c are defined as the displacements AB, BC and CA respectively. (a) Write down expressions for a, b and c in terms of an appropriate pair of orthonormal basis vectors £, and £2.

n this question, the points A, B and C form the vertices of an equilateral triangle whose ides are all of unit length. The points A', B' and C' mark the mid-points of the lines "pposite the vertices A, B and C respectively. B' B The three vectors a, b and c are defined as the displacements AB, BC and CA respectively. (a) Write down expressions for a, b and c in terms of an appropriate pair of orthonormal basis vectors £, and £2.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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In this question, the points A, B and C form the vertices of an equilateral triangle whose sides are all of unit length. The points A', B' and C' mark the mid-points of the lines opposite the vertices A, B and C respectively. B' A' B The three vectors a, b and c are defined as the displacements AB, BC andCA respectively. (a) Write down expressions for a, b and c in terms of an appropriate pair of orthonormal basis vectors £, and £2.
Transcribed Image Text:In this question, the points A, B and C form the vertices of an equilateral triangle whose sides are all of unit length. The points A', B' and C' mark the mid-points of the lines opposite the vertices A, B and C respectively. B' A' B The three vectors a, b and c are defined as the displacements AB, BC andCA respectively. (a) Write down expressions for a, b and c in terms of an appropriate pair of orthonormal basis vectors £, and £2.
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