x = 5.5 cm (105...section 8.1: intro to geometric vectors precalc september 28, 2015 x = 5.5 cm (105...
TRANSCRIPT
Section 8.1: Intro To Geometric Vectors
PreCalc
September 28, 2015
8.1: Geometric Vectors
Vector quantity represented by a ray that has both magnitude and direction
Magnitude length or distance/speed Direction angle between the positive x
axis and the vector.
To write a vector
a = x (y°) x = magnitude y = direction
Standard Position of a vector has its initial point at the origin.
x
y
b
45°
3.6 cm
vector b has a magnitude of 3.6cm and a direction of 45°.
b = 3.6cm (45°)
Zero Vector when both the initial and terminal point are at the origin. Denoted by 0
Equal Vectors have the same direction & magnitude
Section 8.1: Intro To Geometric Vectors
PreCalc
September 28, 2015
50°
20°
Write the magnitude & direction of the vector as total degrees and in terms of NSWE
5m
7yd
Total Degrees
NSEW
Use a protractor and a ruler to find the magnitude and direction of the vector.
Section 8.1: Intro To Geometric Vectors
PreCalc
September 28, 2015
x = 5.5 cm (105o)
N
S
EW
1. A boat is traveling 36° North of East at 45mph.
2. A plane is traveling 43° West of South at 241mph.
N
S
EW
Draw the vector and write out the vector.
0
1
2
3
4
5
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
46°