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 $((-4),(6))=((-2),(3))$