Introduction To Vectors

12 Questions

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Introduction To Vectors

The following questions cover the content in Kinematics 5 (K5).


Questions and Answers
  • 1. 
    If the top vector { 6 i (m/s) } is accurately drawn, then which of the four vectors below it is also accurately drawn?
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 2. 
    What is the sum of A and B?
    • A. 

      C

    • B. 

      D

    • C. 

      E

    • D. 

      F

    • E. 

      G

    • F. 

      H

  • 3. 
    What is the magnitude of vector A?
    • A. 

      4 j (m)

    • B. 

      J

    • C. 

      4 (m)

    • D. 

      90°

  • 4. 
    A = 5 i (m)B = 3 i + 3 j (m)The magnitude of A+B is _____________ (m).
    • A. 

      11

    • B. 

      5

    • C. 

      8.54

    • D. 

      5.84

  • 5. 
    D = -10 i + 4 j (m/s)In what direction does D point?
    • A. 

      21.8° north of east

    • B. 

      21.8° north of west

    • C. 

      68.2° north of east

    • D. 

      68.2° north of west

  • 6. 
    E = 10 (m), direction unknownF = 6 (m), direction unknownWhat is the smallest possible magnitude of E + F?
    • A. 

      4 (m)

    • B. 

      6 (m)

    • C. 

      10 (m)

    • D. 

      11.7 (m)

    • E. 

      16 (m)

  • 7. 
    C = 5 j (m/s)D = -10 i (m/s)E = 2 i + 6 j (m/s)What is the magnitude of: E + D + 3C = _________ (m/s)(Give me the length of the resultant vector, to the TENTHS place.)
  • 8. 
    What is the direction of vector A+B?(State your answer to the tenths place in the following format: "26.2 degrees north of west" or "15.0 degrees south of west" or "42.8 degrees west of south", but don't include the quotation marks.)
  • 9. 
    Three vectors and their sum are depicted here. Which vector is the sum?
    • A. 

      The green one

    • B. 

      The red one

    • C. 

      The blue one

    • D. 

      The purple one

  • 10. 
    What is the direction of the resultant vector?(State your answer to the tenths place in the following format: "26.2 degrees north of west" or "15.0 degrees south of west" or "42.8 degrees west of south", but don't include the quotation marks.)
  • 11. 
    While these vectors cannot be added, they can be used to determine whether the object to which they pertain is speeding up or slowing down. Which is it?
    • A. 

      Speeding up

    • B. 

      Slowing down

  • 12. 
    A person, following a treasure map, makes 5 distinct displacements. What is the magnitude of the person's overall displacement (i.e. the vector sum of the 5 displacements)?(State your answer to the nearest whole number of meters. Only put the magnitude, not the direction. And omit units.)