![]() The opposite of 5 is -5 and, switching the coordinates, we obtain our answer: (8, -5). That and it looks like it is getting us right to point A. The rule for rotating an object 270° clockwise about the origin is to take the opposite value of the x coordinate and then switch it with the y coordinate. Our center of rotation, this is our point P, and we're rotating by negative 90 degrees. Which point is the image of P? So once again, pause this video and try to think about it. Than 60 degree rotation, so I won't go with that one. And it looks like it's the same distance from the origin. Like 1/3 of 180 degrees, 60 degrees, it gets us to point C. So does this look like 1/3 of 180 degrees? Remember, 180 degrees wouldīe almost a full line. One way to think about 60 degrees, is that that's 1/3 of 180 degrees. So this looks like aboutĦ0 degrees right over here. P is right over here and we're rotating by positive 60 degrees, so that means we go counterĬlockwise by 60 degrees. It's being rotated around the origin (0,0) by 60 degrees. Which point is the image of P? Pause this video and see That point P was rotated about the origin (0,0) by 60 degrees. He then makes the grid according to the key features of the picture, so that a point at (2, 0) is. The coordinate plane is positioned so that the x axis separates the image from the reflection. He places a coordinate plane over the picture. It can also be helpful to remember that this other angle, created from a 270-degree. And a 270-degree angle would look like this. A 180-degree angle is the type of angle you would find on a straight line. Tyler takes a picture of an item and its reflection. In this video, we’ll be looking at rotations with angles of 90 degrees, 180 degrees, and 270 degrees. I included some other materials so you can also check it out. Translations, Rotations, and Reflections. There are many different explains, but above is what I searched for and I believe should be the answer to your question. There is also a system where positive degree is clockwise and negative degree anti-clockwise, but it isn't widely used. Product of unit vector in X direction with that in the Y direction has to be the unit vector in the Z direction (coming towards us from the origin). ![]() Clockwise for negative degree.įor your second question, it is mainly a conventional that mathematicians determined a long time ago for easier calculation in various aspects such as vectors.
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