UNIT5:Vector Space of Real Numbers
Introductory activity
A vector space (also called a linear space) is a collection of
objects called vectors, which may be added together and
multiplied by numbers, called scalars in this context.
To put it really simple, vectors are basically all about directions
and magnitudes. These are critical in basically all situations.
In physics, vectors are often used to describe forces, and forces
add as vectors do.
a) Discuss the properties of addition of vectors.
b) What happens when a vector is multiplied by a
scalar(real number)?c) Give at least 3 examples of vectors in real life.
Objectives
By the end of this unit, a student will be able to:
ᇢ define and apply different operations on vectors.
ᇢ Calculate the scalar and vector product of two
vectors.
ᇢ calculate the angle between two vectors.
ᇢ apply and transfer the skills of vectors to otherarea of knowledge
5.1. Vectors and operations in R3
Activity 5.1
5.3. Magnitude (or norm or length) of a vector
Activity 5.3
