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 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

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Question
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
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
Transcribed Image Text: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 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
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