Mammoth Memory

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:

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))`

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