Basic Properties of Vectors

​MATH1019 Linear Algebra & Statistics for Engineers

​

ALL ABOUT VECTORS

​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.

​ARE YOU READY?

Multiple Choice

What makes a vector quantity different from a scalar quantity?

• Magnitude

• Position

• Direction

• Dimension

Multiple Choice

Which of the following is a vector quantity?

• Mass

• Speed

• Work done

• Force

​I know you got this!!!

​

​Great!

​Let's get continued...

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

Fill in the Blank

What is the magnitude of a unit vector?

​MORE

TO

COME

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).

• $$i-j$$  

• $$i-k$$  

• $$\left[1,\ 0,\ -1\right]$$  

• $$\left[-1,\ 0,\ 1\right]$$  

Multiple Choice

 If the angle between two vectors is $$180\degree$$ , 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.

THE LAST

QUESTION

Multiple Choice

Which of the following figures represent equal vectors?

• A only

• A and B

• A, B and D

• All of them

THE END