Basic Operations of Vectors
Presentation
•
Mathematics
•
University
•
Hard
Joseph Anderson
FREE Resource
7 Slides • 7 Questions
1
MATH1019 Linear Algebra & Statistics for Engineers
ALL ABOUT VECTORS
2
Learning Outcomes (Lecture 5)
Distinguish notations for a point and a vector.
Recognize vectors from 2 and 3 space.
Work in component or standard unit basis form.
Perform basic vector arithmetic.
Calculate dot product, angle between two vectors, projections and work done.
3
ARE YOU READY?
4
Multiple Choice
What makes a vector quantity different from a scalar quantity?
Magnitude
Position
Direction
Dimension
5
Multiple Choice
Which of the following is a vector quantity?
Mass
Speed
Work done
Force
6
I know you got this!!!
Great!
Let's get continued...
7
Multiple Choice
If you are given 2 vectors from 3-space, which of the following operation/arithmetic CANNOT be done?
Division
Scalar Product
Scalar Multiplication
Cross Product
8
Fill in the Blanks
Type answer...
9
MORE
TO
COME
10
Multiple Choice
Find the standard unit basis form of vector AB with initial point A(0, 0, 0) and terminal point B(1, 0, -1).
i−j
i−k
[1, 0, −1]
[−1, 0, 1]
11
Multiple Choice
If the angle between two vectors is 180° , what can we say about the vectors?
They are perpendicular to each other.
They are parallel to each other in the same direction.
They are parallel to each other in the opposite direction.
None of above.
12
THE LAST
QUESTION
13
Multiple Choice
Which of the following figures represent equal vectors?
A only
A and B
A, B and D
All of them
14
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MATH1019 Linear Algebra & Statistics for Engineers
ALL ABOUT VECTORS
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