Consider the vector A = 3i+j+2k. A) Sketch the vector in Cartesian coordinates and determine its length. B) What is the length of the projection of A onto the xy-plane? C) Determine an expression for a vector B that lies in the xy-plane and is perpendicular to A 71 D) Construct a unit vector for B and express in Cartesian coordinates. E) Find both the scalar and vector products between A and C = 2^i, as well as the vector A - Cl

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the vector A = 31+j+2k.
A) Sketch the vector in Cartesian coordinates and determine its length.
B) What is the length of the projection of A onto the xy-plane?
C) Determine an expression for a vector B that lies in the xy-plane and is perpendicular to A
D) Construct a unit vector for B and express in Cartesian coordinates.
E) Find both the scalar and vector products between A and C = 2^i, as well as the vector A - Cl
K
7
Transcribed Image Text:Consider the vector A = 31+j+2k. A) Sketch the vector in Cartesian coordinates and determine its length. B) What is the length of the projection of A onto the xy-plane? C) Determine an expression for a vector B that lies in the xy-plane and is perpendicular to A D) Construct a unit vector for B and express in Cartesian coordinates. E) Find both the scalar and vector products between A and C = 2^i, as well as the vector A - Cl K 7
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