1 A student has a rectangular postcard that he folds in half lengthwise. Next, he rotates it continuously about the folded edge. Which three-dimensional object below is generated by this rotation? 2 If the …
Write rules to determine the coordinates of the image of (x, y) when it is rotated 90 , 180 , and 270 counterclockwise about the origin. Based on your results in parts (b)–(d), is there anything you would …
Note: Intrinsic vs Extrinsic Rotations Intrinsic rotations apply to axis in rotated coordinate system
As this shape is rotated 360 , is it ever the same before the shape returns to its original direction? Yes, when it is rotated 180 it is the same as it was in the beginning.
R2 rotates the plane by an angle of 0. That is, it doesn't rotate the plane at all. It's just the identity function for the plane. Below is the picture of a shape in the plane. It's a triangle, and we'll. Let's …
2 By solving Equations 2 for 3 ... EXAMPLE 1 If the axes are rotated through 60 , find the XY -coordinates of the point whose xy -coordinates are 2, 6 . SOLUTION Using Equations 3 with x 2 , y 6 …
In more advanced studies of rotational motion, the angular velocity of a rotating object is defined in such a way that it is a vector quantity. For an object rotating counterclockwise about a fixed axis, this …