A look at vectors.

1. 6.3 Vectors in a Plane
Objective:
1) Perform operations with vectors, both
graphically and algebraically.
2) Apply vectors in real-life situations.
Standard: Linear Algebra 7.0

2. What's a
Vector?
_____________
_____________
It's got _________ and _____________!
Terminal – Initial

3. Ways to represent vectors:
Component Form:
Linear Form:
Trigonometric Form:

4. On the Moodle Discussions:
Don't use < and > for vectors. Use LaTeX.
$$langle{-3,5}rangle$$
$$|v|$$

5. Finding a vector:
Ex. 1) Find the component form and
magnitude of the vector v that has an
initial point of (–2, 3) and terminal point
(–7, 9).

6. Ex. 2) Let u be the vector with initial point
(–2, 6) and terminal point (–8, 3). Write u
as a linear combination of the standard
unit vectors i and j.

7. Vector Operations:
Ex. 3) Find the following if …
a) u–v
b) 3v–2u

8. Graphing Vectors:
Ex. 3b) Graph the following if …
a) u+v
b) 3v–2u

9. Ex. 4) Let u = i + j and v = 5i - 3j. Find
3u - 2v.

10. Direction Angles
Ex. 5) Find the direction angle.
a) -6i+6j
b)

11. Trigonometric Form
Just like _____, ______, and ______ can
be used to represent a location on a plane,
also _____, _____, and _____________
can be used in the same way.
Ex. 6) Write in trig form.

12. Assignment:
#8 p. 456 #3-13
(odd), 21-33
(odd), 45-66
(mult. of 3)