Dot Product Quiz

Description

Quiz on the dot product and its applications.
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Quiz by Deleted user, updated more than 1 year ago More Less
Darren Hunt
Created by Darren Hunt almost 6 years ago
Darren Hunt
Copied by Darren Hunt almost 6 years ago
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Resource summary

Question 1

Question
Select the expressions which are meaningful. Do not select the expressions which are meaningless and incorrect.
Answer
  • (a dot b) dot c
  • |a|(b dot c)
  • a*b + c
  • (a*b)c
  • a*(b+c)
  • |a|dot(b+c)

Question 2

Question
a dot b of <4,1, 1/4> and <6,-3,-8> is 19.
Answer
  • True
  • False

Question 3

Question
a dot b of: a=2i+j, b=i-j+k is 2.
Answer
  • True
  • False

Question 4

Question
Find the angle between the vectors. a = <3,-1,5>, b=<-2,4,3>. Ans: [blank_start]81[blank_end] degrees
Answer
  • 81

Question 5

Question
Find the three angles of the triangle with the given vertices. P(2,0), Q(0,3), R(3,4) Ans: p= [blank_start]48[blank_end] degrees q= [blank_start]75[blank_end] degrees r= [blank_start]57[blank_end] degrees
Answer
  • 48
  • 75
  • 57

Question 6

Question
Determine whether the vectors are orthogonal, parallel, or neither. a=<-5,3,7> , b=<6,-8,2>
Answer
  • Orthogonal
  • Parallel
  • Neither

Question 7

Question
Determine whether the vectors are orthogonal, parallel, or neither. a = <4,6>, b=<-3,2>
Answer
  • Orthogonal
  • Parallel
  • Neither

Question 8

Question
Find the angles between the curves at their points of intersection. y=x^2 y=x^3 ans: [blank_start]7/(5(sqrt2))[blank_end]
Answer
  • 7/(5(sqrt2))

Question 9

Question
Find the scalar and vector projections of b onto a. a=<3,6,-2>, b=<1,2,3> ans: comp_a(b)= [blank_start]9/7[blank_end] proj_a(b) = <[blank_start]27/49, 54,49, -18/49[blank_end]>
Answer
  • 9/7
  • 27/49, 54,49, -18/49
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