270 rule represent a 270 rotation to the left which is very easy
(x; y) --> (x.cos45 + y.sin45; x.sin45 - y.cos45)
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 multiplication by the 2x2 matrix 0 1-1 0
we swap the co-ordinates and give the new y co-ordinate the opposite sign.90 degrees clockwise(y, -x)
rosting method rule method set-builder rotation
(x; y) --> (x.cos45 + y.sin45; x.sin45 - y.cos45)
The rule for a rotation by 180° about the origin is (x,y)→(−x,−y) .
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 }
change the sign, but DONT switch the coordinates (:
It is multiplication by the 2x2 matrix 0 1-1 0
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.
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).
(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 in first out
Fleming's left hand rule for motors is a visual depiction used to determine direction of rotation in a motor. Extend your thumb, index finger and middle finger of your left hand at right angles to each other. The thumb represents direction of relative motion. The index finger represents direction of flux (magnetic field). The middle finger represents direction of current flow. A simple way of remembering what each digit represent is the phrase: "Martha's Fresh Cookies." M being motion, F being flux and C being current. Fleming's Right hand rule for generators is the same except you use your right hand and it applies to direction of rotation of generators.