2. A rule that combines two vectors to produce a scalar

3.  6+-5+-14+8 = -5

4. x y

5. x y= NORM of

8. the norm of the vector is The SQUARE of

9. the norm of the vector is  a b c The SQUARE of law of cosines: c 2 = a 2 + b 2 - 2abcos 

10. In 2 or 3 dimensional space, the vectors u and v are perpendicular if the angle between them ( ie  ) is 90 degrees. iff

11. definition: two vectors are said to be ORTHOGONAL if and only if their dot product is zero.

13. 3  4 matrix vector in R 4 vector in R 3 M v

14. M v The first entry is the first row of M dot v

16. M v The second entry is the second row of M dot v

17. M v 10

18. M v The third entry is the third row of M dot v

19. M v 0

20. M v

21. Consider some alternate ways of describing the following system:

22. xyz+ +=

24. =

25. = xyz+ +=