I really don't know how to do this

1. The dot product of two vectors yields a _

rather than a

2. If the dot product of 2 vectors equals zero, then the vectors are

3. When 2 vectors are added, the answer is called the

4. A vector that has a magnitude of 1 is called a

5. When drawing, a_

is used to represent a vector.

6. The directed line segment whose initial point is the origin is said to be in mir

7. If 2 vectors are equivalent, then they have the same

_ and _

_

8. Another word for orthogonal is

Find the dot product of the following vectors.

9. v = 2; -7j

u = -6i+81

ya u=

10. a = -3i + 5j

b= 101 +6j

11. v=(-7,6) ū= (31vouă

12. V=(0,6) ū=(4,0) 13. a = 5i b= 21 - 6j 14. m=(2,12) n=(6,-1)

poū= a b= mona

3 - u s now www. o 1 for

7

15.

Ver

N

16.

In #9-15 above, which of the pairs of vectors are orthogonal?.

How do you know?

17.

Vectors mand n are orthogonal, Find the value of k.

m=(k,10)

n=(6,-3)

18.

Vectors v and ū are orthogonal. Find the value of p. v =(p+2,4)

u =(4,7)

Given the initial and terminal point of a vector, write the vector in component form and as a linear combination.

Component Form

Linear Combination

19. initial point (1,2) and terminal point (17,13).

20. initial point (-1,-19) and terminal point (9,3).

21. initial point (11,-13) and terminal point (-3,0).

22.

Find a unit vector in the direction of w=4i - 2j.

23.

Find a unit vector in the direction of m

ū=3i

w=-3i+6] , find the following.

Given vectors: v=i-27 24. The resultant of v and w

25. 4ū – 3v

26. v. w=

27. |||

28. W - V