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 }
(x; y) --> (x.cos45 + y.sin45; x.sin45 - y.cos45)
we swap the co-ordinates and give the new y co-ordinate the opposite sign.90 degrees clockwise(y, -x)
270 rule represent a 270 rotation to the left which is very easy
It is multiplication by the 2x2 matrix 0 1-1 0
Very simple. Do nothing!Very simple. Do nothing!Very simple. Do nothing!Very simple. Do nothing!
change the sign, but DONT switch the coordinates (:
(x; y) --> (x.cos45 + y.sin45; x.sin45 - y.cos45)
we swap the co-ordinates and give the new y co-ordinate the opposite sign.90 degrees clockwise(y, -x)
(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.
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.
plz awnser this
First of all, if the rotation is 180 degrees then there is no difference clockwise and anti-clockwise so the inclusion of clockwise in the question is redundant. In terms of the coordinate plane, the signs of all coordinates are switched: from + to - and from - to +. So (2, 3) becomes (-2, -3), (-2, 3) becomes (2, -3), (2, -3) becomes (-2, 3) and (-2, -3) becomes (2, 3).
It is multiplication by the 2x2 matrix 0 1-1 0
Almost all of the material that formed the Solar system revolved around the Sun in one direction. This represents the conservation of angular momentum when the material contracted to form the Sun and its planetary disk. Since then, collisions and localized gravity have created exceptions to the general counter-clockwise rule (Venus spins slowly clockwise on its axis). The Earth rotates (spins) on its axis counter-clockwise, and orbits the Sun counter-clockwise as well, as viewed from the North Pole of the Earth or Sun. These are arbitrary concepts of "above" and "below" the plane of the Solar System. The Moon also revolves around the Earth counter-clockwise.
Almost all of the material that formed the Solar system revolved around the Sun in one direction. This represents the conservation of angular momentum when the material contracted to form the Sun and its planetary disk. Since then, collisions and localized gravity have created exceptions to the general counter-clockwise rule (Venus spins slowly clockwise on its axis). The Earth rotates (spins) on its axis counter-clockwise, and orbits the Sun counter-clockwise as well, as viewed from the North Pole of the Earth or Sun. These are arbitrary concepts of "above" and "below" the plane of the Solar System. The Moon also revolves around the Earth counter-clockwise.
Clockwise. However it is really up to the hosts, discretion. ( I mean if the person is sitting one place in the counter clockwise position in no way should you go the whole way around the table (clockwise) first to reach him. ) Also the clockwise rule only applies to the inital serving.