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# Vectors, Victor

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by

## Samuel J Cohen

on 31 August 2018

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#### Transcript of Vectors, Victor

requires use of ruler and protractor
accuracy limited by drawing skills
Which way
you
be goin'?

VECT-ARRRS!!!!
Find the buried treasure 5 miles from this screen
3 feet deep

Mission:
WHY are we doing this?
USS Really?
AHOY! There be TWO
kinds of quantities!
Scalar (italics)=
NO direction
VECTORS (Bold)=
Know which way they be goin'
Time
Mass
Distance
Energy
Displacement
Force
Suppose you weigh out 5.0 g of NaCl. You then add 3.0 g more, and later add 8.0 g more.
WHAT DO WE HAVE?
Graphical
Mathematical
requires knowledge of trigonometry
time-consuming
gives accurate results
Using an appropriate scale, draw each vector using a line segment whose length represents the magnitude and whose arrow shows the direction of the vector:
A
B
A
B
+
+
A
-B
+
A
B
A
B
+
?
1 block = 25 m
~53
o
~37
O
A + B = 500 m, 53 N of E
A + B = 500 m, 37 E of N
0
0
A = 2 m, East
B = 3 m, South
C = 4 m, 30 South of West
o
30
o
A
B
C
A + B + C = 5.2 m, 17 West of South
o
OR 253
o
requires use of ruler and protractor
accuracy limited by drawing skills
3 Cases:
Parallel
Perpendicular
Neither
Mathematical
Simply add/subtract the numbers and go with the direction of the largest number
Case 1: Parallel
300 m East + 100 m East
400 m East + 200 m West
Subtraction:
Case 2: Perpendicular
A = 300 m, E
B = 400 m, N
Draw diagram as for graphical method (need not be to scale):
Use Pythagorean Theorem to find magnitude:
Use Trig to find the direction of resultant
C
r
A
Z
y
ANGLES
Every vector can be split into two simple components
12
O
A = 357 m, 12 N of E
o
NOT TO SCALE
ALAS! We can do real PHYSICS!!!!!!