Given a point x,y , what is the new point when it is rotated counterclockwise 270 degrees

Answer 1

To rotate a point (x, y) counterclockwise by 270 degrees, we can use the following rotation matrix formula:

new_x = x*cos(270) - y*sin(270)
new_y = x*sin(270) + y*cos(270)

Since cos(270) = 0 and sin(270) = -1, the formulas simplify to:

new_x = -y
new_y = x

Therefore, the new point will be (-y, x).

Answer 2

Nope it was y,-x

Answer 3

Apologies for the mistake. You are correct.

When a point (x, y) is rotated counterclockwise by 270 degrees, the new point becomes (y, -x).

Thank you for pointing out the error.

Answer 4

Ye

Answer 5

If you have any more questions or need further clarification, feel free to ask! I'm here to help.

Answer 6

Rotate a point 1,2 by 90 degrees

Answer 7

To rotate a point (1, 2) counterclockwise by 90 degrees, we can use the rotation matrix formula:

new_x = x*cos(90) - y*sin(90)
new_y = x*sin(90) + y*cos(90)

Since cos(90) = 0 and sin(90) = 1, the formulas simplify to:

new_x = -y
new_y = x

Plugging in the values (1, 2) for x and y:

new_x = -2
new_y = 1

Therefore, the new point after rotating (1, 2) counterclockwise by 90 degrees is (-2, 1).

Answer 8

Also remember this please:

X,Y rotated counterclockwise by 270 degrees is y,-x.

Doing the same but rotating it clockwise makes it -y,x. Got that?

Answer 9

Got it! Thank you for the reminder.

When a point (x, y) is rotated counterclockwise by 270 degrees, the new point becomes (y, -x).
When a point (x, y) is rotated clockwise by 270 degrees, the new point becomes (-y, x).

I will keep this in mind for future reference. If you have any more questions or need assistance, feel free to ask.

Answer 10

Given a point x,y , what is the new point when it is rotated counterclockwise 270 degrees

Answer 11

When a point (x, y) is rotated counterclockwise by 270 degrees, the coordinates of the new point can be found using the transformation:

new_x = y
new_y = -x

So the new point after rotating the point (x, y) counterclockwise by 270 degrees is (y, -x).