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Lesson Worksheet: Parallel and Perpendicular Vectors in 2D Mathematics

In this worksheet, we will practice recognizing parallel and perpendicular vectors in 2D.


Fill in the blank: Vectors A=1,2 and B=2,1 are .

  • Aneither perpendicular nor parallel
  • Bparallel
  • Cperpendicular


True or False: Vectors A=2,1 and B=6,3 are parallel.

  • AFalse
  • BTrue


True or False: Vectors A=(3,1) and B=(2,6) are perpendicular.

  • AFalse
  • BTrue


Which of the following vectors is not perpendicular to the line whose direction vector r is 6,5?

  • Ar=12,10
  • Br=5,6
  • Cr=5,6
  • Dr=10,12


Fill in the blank: If A and B are scalar multiples of each other, then they are .

  • Aparallel
  • Bperpendicular
  • Cneither perpendicular nor parallel


Fill in the blank: Consider that A=𝑥,𝑦 and B=𝑥,𝑦. If 𝑦𝑥=𝑥𝑦, then the vectors are .

  • Aparallel
  • Bperpendicular
  • Cneither perpendicular nor parallel


Which of the following vector pairs are perpendicular?

  • A3,0, 0,6
  • B2,0, 3,6
  • C0,7, 0,9
  • D1,4, 2,8


Given that A=6,15, B=𝑘,10, and AB, find the value of 𝑘.


If A=,+2 and B=3,41, then one of the values of that makes AB is .

  • A7
  • B5
  • C5
  • D7


Fill in the blank: If 𝐴=𝑘,3, 𝐵=3,1, and 𝐴𝐵, then all the possible values for 𝑘 are .

  • A1
  • B1
  • C1, 1
  • D3

This lesson includes 37 additional questions and 216 additional question variations for subscribers.

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