Magnitude and dot product

1. 1.
   Find a · b for a = (3, -6) and b = (-3, 1).
2. 2.
   Find the magnitude of the vector (5, 12).
3. 3.
   Find the magnitude of the vector (-5, -12).
4. 4.
   Find a · b for a = (-2, 6) and b = (6, -2).
5. 5.
   Find the magnitude of the vector (7, 24).
6. 6.
   Find a · b for a = (5, 1) and b = (-5, -5).
7. 7.
   Find a · b for a = (6, -5) and b = (4, 1).
8. 8.
   Find the magnitude of the vector (3, 4).
9. 9.
   Find a · b for a = (6, -1) and b = (1, -6).
10. 10.
    Find a · b for a = (-2, -3) and b = (1, -2).
11. 11.
    Find a · b for a = (-5, -4) and b = (-5, 6).
12. 12.
    Find a · b for a = (1, -5) and b = (-1, -6).
13. 13.
    Find a · b for a = (-5, -1) and b = (-2, -6).
14. 14.
    Find a · b for a = (0, -1) and b = (1, 2).
15. 15.
    Find a · b for a = (-2, -4) and b = (3, 4).
16. 16.
    Find a · b for a = (2, -4) and b = (-3, -4).
17. 17.
    Find a · b for a = (-2, 6) and b = (4, 0).
18. 18.
    Find a · b for a = (-6, 1) and b = (-2, -6).
19. 19.
    Find a · b for a = (-4, 2) and b = (-6, -1).
20. 20.
    Find a · b for a = (6, -1) and b = (-4, -4).

Free maths worksheets and practice: rocketdigits.com/learn/magnitude-and-dot-product