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Lesson: Linear Combination of Unit Vectors

Video

13:10

Sample Question Videos

Worksheet • 6 Questions • 2 Videos

Q1:

Express the vector ⃑ 𝑍 = ο€Ό βˆ’ 5 2 , βˆ’ 1 9  using the unit vectors ⃑ 𝑖 and ⃑ 𝑗 .

  • A ⃑ 𝑍 = βˆ’ 5 2 ⃑ 𝑖 βˆ’ 1 9 ⃑ 𝑗
  • B ⃑ 𝑍 = βˆ’ 1 9 ⃑ 𝑗
  • C ⃑ 𝑍 = βˆ’ 1 9 ⃑ 𝑖 βˆ’ 5 2 ⃑ 𝑗
  • D ⃑ 𝑍 = βˆ’ 5 2 ⃑ 𝑖
  • E ⃑ 𝑍 = 5 2 ⃑ 𝑖 + 1 9 ⃑ 𝑗

Q2:

The given figure shows a vector in a plane. Express this vector in terms of the unit vectors ⃑ 𝑖 and ⃑ 𝑗 .

  • A 2 ⃑ 𝑖 + 1 0 ⃑ 𝑗
  • B βˆ’ 2 ⃑ 𝑖 βˆ’ 1 0 ⃑ 𝑗
  • C βˆ’ 2 ⃑ 𝑖 + 1 0 ⃑ 𝑗
  • D 1 0 ⃑ 𝑖 + 2 ⃑ 𝑗
  • E 2 ⃑ 𝑖 βˆ’ 1 0 ⃑ 𝑗

Q3:

Express the vector ⃑ 𝐿 = ( 1 0 , βˆ’ 1 0 ) using the unit vectors ⃑ 𝑖 and ⃑ 𝑗 .

  • A ⃑ 𝐿 = 1 0 ⃑ 𝑖 βˆ’ 1 0 ⃑ 𝑗
  • B ⃑ 𝐿 = βˆ’ 1 0 ⃑ 𝑖 + 1 0 ⃑ 𝑗
  • C ⃑ 𝐿 = βˆ’ 1 0 ⃑ 𝑗
  • D ⃑ 𝐿 = 1 0 ⃑ 𝑖

Q4:

Express the vector ⃑ 𝐿 = ( 9 , βˆ’ 1 3 ) using the unit vectors ⃑ 𝑖 and ⃑ 𝑗 .

  • A ⃑ 𝐿 = 9 ⃑ 𝑖 βˆ’ 1 3 ⃑ 𝑗
  • B ⃑ 𝐿 = βˆ’ 1 3 ⃑ 𝑗
  • C ⃑ 𝐿 = βˆ’ 1 3 ⃑ 𝑖 + 9 ⃑ 𝑗
  • D ⃑ 𝐿 = 9 ⃑ 𝑖
  • E ⃑ 𝐿 = βˆ’ 9 ⃑ 𝑖 + 1 3 ⃑ 𝑗

Q5:

The given figure shows a vector in a plane. Express this vector in terms of the unit vectors ⃑ 𝑖 and ⃑ 𝑗 .

  • A 1 1 ⃑ 𝑖 βˆ’ 2 ⃑ 𝑗
  • B βˆ’ 1 1 ⃑ 𝑖 + 2 ⃑ 𝑗
  • C βˆ’ 1 1 ⃑ 𝑖 βˆ’ 2 ⃑ 𝑗
  • D βˆ’ 2 ⃑ 𝑖 + 1 1 ⃑ 𝑗
  • E 1 1 ⃑ 𝑖 + 2 ⃑ 𝑗

Q6:

The given figure shows a vector in a plane. Express this vector in terms of the unit vectors ⃑ 𝑖 and ⃑ 𝑗 .

  • A βˆ’ 6 ⃑ 𝑖 + 3 ⃑ 𝑗
  • B 6 ⃑ 𝑖 βˆ’ 3 ⃑ 𝑗
  • C 6 ⃑ 𝑖 + 3 ⃑ 𝑗
  • D 3 ⃑ 𝑖 βˆ’ 6 ⃑ 𝑗
  • E βˆ’ 6 ⃑ 𝑖 βˆ’ 3 ⃑ 𝑗
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