# MCV4U_Unit#6_TCavers.docx - MCV4U: Lesson #16-17 Lines and...

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MCV4U: Lesson #16-17 –Lines and Planes (Part A)Taylor CaversStudent Number: 17144011
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Chapter 7 / Exercise 2
Precalculus: Real Mathematics, Real People
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Lesson #17: Application of Vector MultiplicationTask #1: Knowledge and Understanding Questions1.Find the angle between vectorsa=(7,1,2)andb=(5,4,4). (5 marks)aab
cosθ=313078cosθ=0.5588θ=cos1(0.5588)θ=56.0°Therefore, the angle between vectorsa=(7,1,2)andb=(5,4,4)is 56.0° and isacute.2.Find the cross product ofu=(−2,3,4)andv=(1,4,5). (4 marks)is
3.Given two vectorsu=(5,1,5)andv=(−4,5,2), find the projection ofuvin Cartesian form. (4 marks)on
Projvu=(43,53,23)Therefore, the projection ofuonvin Cartesian form isProjvu=(43,53,23).4.Find the volume of a parallelepiped defined by the vectorsu=(3,4,2)v=(0,2,3), andw=(−2,0,4). (4 marks),.
Therefore, the volume of a parallelepiped defined by the vectorsu=(3,4,2),v=(0,2,3), andw=(−2,0,4)isV=56cubic units.

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Chapter 7 / Exercise 2
Precalculus: Real Mathematics, Real People
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