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

Scaling is the same as multiplying when it comes to vectors

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:

The vector `((3),(2))` multiplied by `3` is `((9),(6))`

Example 2

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

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

Answer:

The vector `((3),(2))` scaled by `3` is `((9),(6))`

Example 3

What is half of the vector `((2),(6))`

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

Answer:

Half of the vector `((2),(6))=((1),(3))`

Example 4

What is half of the vector `((-4),(6))`

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

Answer:

Half of the vector `((-4),(6))=((-2),(3))`