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.

   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)
2. 2.

   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)
3. 3.

   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)
4. 4.

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

   10
5. 5.

   Ari's kite makes the slide v = ⟨-5, 12⟩ in meters. What is the length (magnitude) of v, in meters?

   13
6. 6.

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

   17
7. 7.

   Jun moves a game piece by the vector ⟨-3, 4⟩. Which slide is that?

   • 3 units left and 4 units up
   • 3 units right and 4 units up
   • 4 units left and 3 units up
   • 3 units left and 4 units down
8. 8.

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

   • 5 units right and 2 units down
   • 5 units right and 2 units up
   • 2 units right and 5 units down
   • 5 units left and 2 units down
9. 9.

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

   • 6 units left and 1 unit down
   • 1 unit left and 6 units down
   • 6 units right and 1 unit up
   • 6 units left and 1 unit up
10. 10.

    Milo moves a game piece by the vector ⟨-4, 7⟩. Which slide is that?

    • 7 units left and 4 units up
    • 4 units right and 7 units up
    • 4 units left and 7 units up
    • 4 units left and 7 units down