Vectors Quiz

Description

Test knowledge on 2D vectors.
Deleted user
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
Find the sum of the given vectors: <-1,4>, <6,-2> = [blank_start]<5,2>[blank_end]
Answer
  • <5,2>

Question 2

Question
Find a + b, 2a + 3b, |a|, and |a-b|. a=<5,-12>, b=<-3,-6> Ans: a+b = [blank_start]<2,-18>[blank_end] 2a+3b = [blank_start]<1,-42>[blank_end] |a| = [blank_start]13[blank_end] |a-b| = [blank_start]10[blank_end]
Answer
  • <2,-18>
  • <1,-42>
  • 13
  • 10

Question 3

Question
Find a unit vector that has the same direction as the given vector. -3i + 7j is equal to the unit vector -3/sqrt(58) i + 7/sqrt(58) j.
Answer
  • True
  • False

Question 4

Question
Find a unit vector that has the same direction as the vector given. 8i - j + 4k
Answer
  • 9i - 9j + 9k
  • 1/9i -1/9j + 1/9k
  • 8/9i -1/9j + 4/9k
  • 8i - j + 4k

Question 5

Question
What is the angle between the vector and the positive direction of the x-axis? i + sqrt(3)j = [blank_start]60[blank_end] degrees
Answer
  • 60
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