270 rule represent a 270 rotation to the left which is very easy
The effect of the rotation is the same as that of a 90 degree clockwise rotation. In matrix notation, it is equivalent to [post-]multiplication by the 2x2 matrix: { 0 1 } {-1 0 }
It is (-6, -1).
180 degrees in the plane perpendicular to the xy plane. In general, no rotation in the (x, y) plane will take it to (-x, y) unless x = y (or -y) and, in that case it is a 270 degree clockwise rotation.
It is multiplication by the 2x2 matrix 0 1-1 0
(x,y) to (x,-y). You would keep the x the same, but turn the y negative. This is actually the rule for a 90 degree counterclockwise rotation, but they're the same thing, they would go to the same coordinates.
You went 360o in the same direction, so you end up with a circle.
270 rule represent a 270 rotation to the left which is very easy
(x,y) to (x,-y). You would keep the x the same, but turn the y negative. This is actually the rule for a 90 degree counterclockwise rotation, but they're the same thing, they would go to the same coordinates.
The effect of the rotation is the same as that of a 90 degree clockwise rotation. In matrix notation, it is equivalent to [post-]multiplication by the 2x2 matrix: { 0 1 } {-1 0 }
It is (-6, -1).
It is (6, 1).
A measure of rotation MUST state whether it is clockwise or anti-clockwise. Unless the rotation is 0 degrees (ie no rotation) or 180 degrees (the two are the same). It must also specify the centre of rotation. Since you have not bothered to share these crucial bits of information, I cannot provide a more useful answer.
If you imagine moving the second hand of a clock in a natural numerical direction (i.e. past 1, then 2, then 3, then 4 etc), that is clockwise. The direction of a clock is clockwise. Past the 1, then 2, then 3 etc. Or past the 90 degree, then 180, then 270 degree marks. The opposite direction of clockwise is anticlockwise or counterclockwise (both words mean the same). If you apply the term clockwise to hurricanes or other circular-motion phenomena, it is a movement analogous to clock movement, past the 90 degree, then 180 degree, then 270, then 360 degree marks.
Rotation of 270 degrees clockwise or 90 degrees counter clockwise
180 degrees in the plane perpendicular to the xy plane. In general, no rotation in the (x, y) plane will take it to (-x, y) unless x = y (or -y) and, in that case it is a 270 degree clockwise rotation.
It is multiplication by the 2x2 matrix 0 1-1 0