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Position, Resultant, Collinear Vectors and Distance IBSLY1 D Block April 12, 2016 Review of equal vectors
Position, Resultant, Collinear Vectors and Distance
IBSLY1 D Block
April 12, 2016
Review of equal vectors
Position, Resultant, Collinear Vectors and Distance
IBSLY1 D Block
April 12, 2016
Position of a point relative to the origin, O
Position, Resultant, Collinear Vectors and Distance
IBSLY1 D Block
April 12, 2016
The final vector when more than one vector is combined
For example, for the coordinates A(2,3) and B(6,6) we can find two different ways:
1. Go directly from A to B which is
2. Use the position vectos, so go from A to O and O to B
is the resultant vector
Position, Resultant, Collinear Vectors and Distance
IBSLY1 D Block
April 12, 2016
Position, Resultant, Collinear Vectors and Distance
IBSLY1 D Block
April 12, 2016
Position, Resultant, Collinear Vectors and Distance
IBSLY1 D Block
April 12, 2016
Position, Resultant, Collinear Vectors and Distance
IBSLY1 D Block
April 12, 2016
Position, Resultant, Collinear Vectors and Distance
IBSLY1 D Block
April 12, 2016
Similarly, this works if we don't have position vectors or can't write the position vectors.
Say we know and
How would we write ?
Position, Resultant, Collinear Vectors and Distance
IBSLY1 D Block
April 12, 2016
Find the resultant vector for the following:
Position, Resultant, Collinear Vectors and Distance
IBSLY1 D Block
April 12, 2016
By finding the resultant vector, we can find the distance between any two points.*NOTE: You can use the distance formula here too!
Position, Resultant, Collinear Vectors and Distance
IBSLY1 D Block
April 12, 2016
Position, Resultant, Collinear Vectors and Distance
IBSLY1 D Block
April 12, 2016
Position, Resultant, Collinear Vectors and Distance
IBSLY1 D Block
April 12, 2016
Position, Resultant, Collinear Vectors and Distance
IBSLY1 D Block
April 12, 2016
Application with Vectors
Position, Resultant, Collinear Vectors and Distance
IBSLY1 D Block
April 12, 2016
Position, Resultant, Collinear Vectors and Distance
IBSLY1 D Block
April 12, 2016
Collinear Points
A
B
C
What are two important ideas that are true about AB and AC
that we could use to determine if points A, B and C are collinear?
1.
2.
Now, extend this to vectors!
Position, Resultant, Collinear Vectors and Distance
IBSLY1 D Block
April 12, 2016
Position, Resultant, Collinear Vectors and Distance
IBSLY1 D Block
April 12, 2016
Position, Resultant, Collinear Vectors and Distance
IBSLY1 D Block
April 12, 2016
Position, Resultant, Collinear Vectors and Distance
IBSLY1 D Block
April 12, 2016
Homework
Chapter 12.1
12C: 1-6
12D: 1-3
12E: 1-4
