# Multiplying column vectors

Multiplying vectors is just like any normal calculation but keep the top row separate from the bottom row. This is sometimes called scaling a vector. A scale has magnitude (size) only but in terms of scaling a vector you can think of scaling as a multiple.

Scalar = Multiply

**SCALE** these walls **MULTIPLE** times to become world champion.

**Example 1**

Multiply vector `((3),(2))` by `3`

`((3),(2))times3=((3times3),(2times3))=((9),(6))`

**Answer:**

Multiply the vector `((3),(2))` by `3` is `((9),(6))`

**Example 2**

Scale the vector `((3),(2))` by `3`

`((3),(2))times3=((3times3),(2times3))=((9),(6))`

**Answer:**

Multiply the vector `((3),(2))` by `3` is `((9),(6))`

**Example 3**

`1/2` the vector `((2),(6))`

`((2),(6))times1/2=((2times1/2),(6times1/2))=((1),(3))`

**Answer:**

`1/2` the vector `((2),(6))=((1),(3))`

**Example 4**

`1/2` the vector `((-4),(6))`

`((-4),(6))times1/2=((-4times1/2),(6times1/2))=((-2),(3))`

**Answer:**

`1/2` the vector `((-4),(6))=((-2),(3))`

# Multiplying column vectors

Multiplying vectors is just like any normal calculation but keep the top row separate from the bottom row. This is sometimes called scaling a vector. A scale has magnitude (size) only but in terms of scaling a vector you can think of scaling as a multiple.

Scalar = Multiply

**SCALE** these walls **MULTIPLE** times to become world champion.

**Example 1**

Multiply vector `((3),(2))` by `3`

`((3),(2))times3=((3times3),(2times3))=((9),(6))`

**Answer:**

Multiply the vector `((3),(2))` by `3` is `((9),(6))`

**Example 2**

Scale the vector `((3),(2))` by `3`

`((3),(2))times3=((3times3),(2times3))=((9),(6))`

**Answer:**

Multiply the vector `((3),(2))` by `3` is `((9),(6))`

**Example 3**

`1/2` the vector `((2),(6))`

`((2),(6))times1/2=((2times1/2),(6times1/2))=((1),(3))`

**Answer:**

`1/2` the vector `((2),(6))=((1),(3))`

**Example 4**

`1/2` the vector `((-4),(6))`

`((-4),(6))times1/2=((-4times1/2),(6times1/2))=((-2),(3))`

**Answer:**

`1/2` the vector `((-4),(6))=((-2),(3))`