Multiplication of a vector by a scalar (unit 2)

Only multiply the vector’s magnitude by the scalar, not the direction

can change numerical value, units of measure, or both

Direction only changes

if the scalar is negative

If the magnitude is negative for polar coordinates

Rewrite as a positive magnitude without changing what the vector represents

Step one for rewriting polar coordinates when magnitude is negative

Drop the negative sign on the magnitude

Step two to rewriting polar coordinates if the magnitude is negative

add 180 degrees if the direction is less than 180 degrees, subtract 180 degrees if the direction is 180 or larger than 180 degrees

If the direction is negative for polar coordinates is negative

rewrite as a positive direction without changing what the vector represents

What to add when direction is negative

360 degrees