Quiz 4 (Vectors)

12 Questions
Quiz 4 (vectors)

This is a vectors quiz. There are altogether 12 questions; maximum recommended time limit for completion is 6 minutes (or 30 seconds per question). NO CALCULATORS SHALL BE USED. Peace. A WHITE GROUP MATHEMATICS CREATION (www. Whitegroupmaths. Com)

Please wait...
Questions and Answers
  • 1. 
    • A. 

      143

    • B. 

      235

    • C. 

      -146

    • D. 

      -278

  • 2. 
    Are points A, B and C represented by and collinear?
    • A. 

      Yes

    • B. 

      No

  • 3. 
    The foot of the perpendicular from the point to the line with equation is given by .
    • A. 

      True

    • B. 

      False

  • 4. 
    Denoting O as the origin, what is the area of the triangle OAB if points A and B are represented by and respectively?
    • A. 

      32 sq units

    • B. 

      42 sq units

    • C. 

      72 sq units

    • D. 

      92 sq units

  • 5. 
    If ABCD is a parallelogram described in the counter-clockwise sense, and points A, B and C are represented by - i +2j +4k,  -2i +2j +k  and  3i +2j +2k respectively, what is point D?
    • A. 

      4i-2j+5k

    • B. 

      4i+2j+5k

    • C. 

      -4i+j+3k

    • D. 

      4i+4j+5k

  • 6. 
    If lines and   are defined by the equations   and  respectively, what is the equation of the line of intersection of and ?
    • A. 
    • B. 
    • C. 
    • D. 
  • 7. 
    What is the distance between the two planes defined by equations x+2y+2z = 9  and  x+2y+2z = -3 ?
    • A. 

      12 units

    • B. 

      6 units

    • C. 

      3 units

    • D. 

      4 units

  • 8. 
    What is the shortest distance between the two planes defined by equations x+2y+2z=3  and 2x-2y+z =9?
    • A. 

      2 units

    • B. 

      0 units

    • C. 

      4 units

    • D. 

      6 units

  • 9. 
    Does the line with equation lie on the plane with equation
    • A. 

      Yes

    • B. 

      No

  • 10. 
    What is the acute angle between the planes defined by equations x+8y+5z = 4  and  -4x-5y +7z =0 ?
    • A. 
    • B. 
    • C. 
    • D. 

      90 degrees

  • 11. 
    What is the direction vector of the acute angular bisector of the lines   and 
    • A. 

      2i+j-k

    • B. 

      I+j+k

    • C. 

      I-2j+4k

    • D. 

      J+2k

  • 12. 
    The origin lies on the line with equation .
    • A. 

      True

    • B. 

      False