Vectors: magnitude, direction and component form

Answer Key - Grade 10 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.

1. 1.

   A toy robot rolls from P to Q on Milo's grid mat. What is vector PQ in component form, written as (run, rise)?

   (4, 5)
2. 2.

   On Noah's map game, a token slides from P to Q. What is vector PQ in component form, written as (run, rise)?

   (5, -3)
3. 3.

   A snail on Pia's graph paper crawls straight from P to Q. What is vector PQ in component form, written as (run, rise)?

   (-3, 4)
4. 4.

   Ren's toy car rolls straight from P to Q on a grid rug. What is vector PQ in component form, written as (run, rise)?

   (-6, -2)
5. 5.

   Tala's paper rocket glides from P to Q across a grid poster. What is vector PQ in component form, written as (run, rise)?

   (1, 6)
6. 6.

   Zee's drone makes the slide v = ⟨-6, 8⟩ in meters. What is the length (magnitude) of v, in meters?

   10
7. 7.

   Bo's boat makes the slide v = ⟨8, -15⟩ in meters. What is the length (magnitude) of v, in meters?

   17
8. 8.

   Esme's robot makes the slide v = ⟨-9, -12⟩ in meters. What is the length (magnitude) of v, in meters?

   15
9. 9.

   Kira moves a game piece by the vector ⟨5, -2⟩. Which slide is that?

   • 2 units right and 5 units down
   • 5 units right and 2 units down
   • 5 units left and 2 units down
   • 5 units right and 2 units up
10. 10.

    Luz moves a game piece by the vector ⟨-6, -1⟩. Which slide is that?

    • 6 units left and 1 unit up
    • 6 units right and 1 unit up
    • 1 unit left and 6 units down
    • 6 units left and 1 unit down