Page 106 - Math Course 2 (Book 2)

Transformations: Using Vectors

MO. 9 - L7b

Performing Translations with scalar multiplication

Vectors Multiplying a vector by a positive scalar is called
scalar multiplication.

y
Vocabulary A-Z

Let us learn some vocabulary

resultant

Vectors can be combined to perform a composition a na
of translations by adding the vectors. The sum of
two vectors is called the resultant. x

y

a + b Key Concept

b + a
a Vector Addition

Words To add two vectors, add the
b corresponding components.
x
Symbols If a = (a , a ) and b = (b , b ),
1 2 1 2
scalar then a + b = (a + b + a + b ),
1
2
1
2
a vector can be multiplied by a positive constant, and b + a = (b + a + b + a ).
called a scalar, that will change the magnitude of 1 1 2 2
the vector, but not affect its direction.
y y
a + b

b + a
a

a na b

x x

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