Rotating tetragon/square with matrix algebra
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So I need help with my home assignment. I would have to rotate a tetragon from one point.
Tetragon is given with letters ABCD. A=(3;1), B=(7;3), C=(2;6) and D=(0;2). I have to rotate the tetragon 70 degrees clockwise from point A using matrices.
Because English is not my first language it's a bit hard for me to understand all the explanations, so the more simplified it would be, the better.
Thanks in advance!
matrices rotations
asked Jan 2 at 9:40
Emili Emili
1
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add a comment |
$begingroup$
So I need help with my home assignment. I would have to rotate a tetragon from one point.
Tetragon is given with letters ABCD. A=(3;1), B=(7;3), C=(2;6) and D=(0;2). I have to rotate the tetragon 70 degrees clockwise from point A using matrices.
Because English is not my first language it's a bit hard for me to understand all the explanations, so the more simplified it would be, the better.
Thanks in advance!
matrices rotations
asked Jan 2 at 9:40
Emili Emili
1
$endgroup$
$begingroup$
Welcome to MSE. First of all, this site is not meant to solve homework problems for you. If you need help, please let us know how you tried to solve the problem and also which methods you have available.
$endgroup$
– James
Jan 2 at 9:57
add a comment |
$begingroup$
So I need help with my home assignment. I would have to rotate a tetragon from one point.
Tetragon is given with letters ABCD. A=(3;1), B=(7;3), C=(2;6) and D=(0;2). I have to rotate the tetragon 70 degrees clockwise from point A using matrices.
Because English is not my first language it's a bit hard for me to understand all the explanations, so the more simplified it would be, the better.
Thanks in advance!
matrices rotations
asked Jan 2 at 9:40
Emili Emili
1
$endgroup$
So I need help with my home assignment. I would have to rotate a tetragon from one point.
Tetragon is given with letters ABCD. A=(3;1), B=(7;3), C=(2;6) and D=(0;2). I have to rotate the tetragon 70 degrees clockwise from point A using matrices.
Because English is not my first language it's a bit hard for me to understand all the explanations, so the more simplified it would be, the better.
Thanks in advance!
matrices rotations
matrices rotations
asked Jan 2 at 9:40
Emili Emili
1
asked Jan 2 at 9:40
Emili Emili
1
asked Jan 2 at 9:40
Emili Emili
1
asked Jan 2 at 9:40
Emili Emili
1
asked Jan 2 at 9:40
Emili Emili
1
1
$begingroup$
Welcome to MSE. First of all, this site is not meant to solve homework problems for you. If you need help, please let us know how you tried to solve the problem and also which methods you have available.
$endgroup$
– James
Jan 2 at 9:57
add a comment |
$begingroup$
Welcome to MSE. First of all, this site is not meant to solve homework problems for you. If you need help, please let us know how you tried to solve the problem and also which methods you have available.
$endgroup$
– James
Jan 2 at 9:57
$begingroup$
Welcome to MSE. First of all, this site is not meant to solve homework problems for you. If you need help, please let us know how you tried to solve the problem and also which methods you have available.
$endgroup$
– James
Jan 2 at 9:57
$begingroup$
Welcome to MSE. First of all, this site is not meant to solve homework problems for you. If you need help, please let us know how you tried to solve the problem and also which methods you have available.
$endgroup$
– James
Jan 2 at 9:57
add a comment |
1 Answer
1
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Because matrices represent a linear transformation, they keep the origin point fixed. So you have to make the origin the point you're rotating about. Here, you are rotating from point A, so you need to write the tetragon with point $A'$ being at $(0,0)$. You can do this by subtracting $(3,1)$ from every coordinate.
Then, you can apply the rotation matrix to each point with $theta = 290^circ$.
And then "undo' the subtraction of $(3,1)$ by adding back $(3,1)$ to every point.
answered Jan 2 at 9:49
rb612rb612
1,9281924
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1
$begingroup$
$theta=290deg$
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– Shubham Johri
Jan 2 at 9:58
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@ShubhamJohri oops, thanks for the catch! Edited.
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– rb612
Jan 2 at 10:10
add a comment |
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1 Answer
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1 Answer
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active
oldest
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active
oldest
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active
oldest
votes
$begingroup$
Because matrices represent a linear transformation, they keep the origin point fixed. So you have to make the origin the point you're rotating about. Here, you are rotating from point A, so you need to write the tetragon with point $A'$ being at $(0,0)$. You can do this by subtracting $(3,1)$ from every coordinate.
Then, you can apply the rotation matrix to each point with $theta = 290^circ$.
And then "undo' the subtraction of $(3,1)$ by adding back $(3,1)$ to every point.
answered Jan 2 at 9:49
rb612rb612
1,9281924
$endgroup$
1
$begingroup$
$theta=290deg$
$endgroup$
– Shubham Johri
Jan 2 at 9:58
$begingroup$
@ShubhamJohri oops, thanks for the catch! Edited.
$endgroup$
– rb612
Jan 2 at 10:10
add a comment |
$begingroup$
Because matrices represent a linear transformation, they keep the origin point fixed. So you have to make the origin the point you're rotating about. Here, you are rotating from point A, so you need to write the tetragon with point $A'$ being at $(0,0)$. You can do this by subtracting $(3,1)$ from every coordinate.
Then, you can apply the rotation matrix to each point with $theta = 290^circ$.
And then "undo' the subtraction of $(3,1)$ by adding back $(3,1)$ to every point.
answered Jan 2 at 9:49
rb612rb612
1,9281924
$endgroup$
1
$begingroup$
$theta=290deg$
$endgroup$
– Shubham Johri
Jan 2 at 9:58
$begingroup$
@ShubhamJohri oops, thanks for the catch! Edited.
$endgroup$
– rb612
Jan 2 at 10:10
add a comment |
$begingroup$
Because matrices represent a linear transformation, they keep the origin point fixed. So you have to make the origin the point you're rotating about. Here, you are rotating from point A, so you need to write the tetragon with point $A'$ being at $(0,0)$. You can do this by subtracting $(3,1)$ from every coordinate.
Then, you can apply the rotation matrix to each point with $theta = 290^circ$.
And then "undo' the subtraction of $(3,1)$ by adding back $(3,1)$ to every point.
answered Jan 2 at 9:49
rb612rb612
1,9281924
$endgroup$
Because matrices represent a linear transformation, they keep the origin point fixed. So you have to make the origin the point you're rotating about. Here, you are rotating from point A, so you need to write the tetragon with point $A'$ being at $(0,0)$. You can do this by subtracting $(3,1)$ from every coordinate.
Then, you can apply the rotation matrix to each point with $theta = 290^circ$.
And then "undo' the subtraction of $(3,1)$ by adding back $(3,1)$ to every point.
answered Jan 2 at 9:49
rb612rb612
1,9281924
edited Jan 2 at 10:09
answered Jan 2 at 9:49
rb612rb612
1,9281924
answered Jan 2 at 9:49
rb612rb612
1,9281924
answered Jan 2 at 9:49
rb612rb612
1,9281924
1,9281924
1
$begingroup$
$theta=290deg$
$endgroup$
– Shubham Johri
Jan 2 at 9:58
$begingroup$
@ShubhamJohri oops, thanks for the catch! Edited.
$endgroup$
– rb612
Jan 2 at 10:10
add a comment |
1
$begingroup$
$theta=290deg$
$endgroup$
– Shubham Johri
Jan 2 at 9:58
$begingroup$
@ShubhamJohri oops, thanks for the catch! Edited.
$endgroup$
– rb612
Jan 2 at 10:10
1
1
$begingroup$
$theta=290deg$
$endgroup$
– Shubham Johri
Jan 2 at 9:58
$begingroup$
$theta=290deg$
$endgroup$
– Shubham Johri
Jan 2 at 9:58
$begingroup$
@ShubhamJohri oops, thanks for the catch! Edited.
$endgroup$
– rb612
Jan 2 at 10:10
$begingroup$
@ShubhamJohri oops, thanks for the catch! Edited.
$endgroup$
– rb612
Jan 2 at 10:10
add a comment |
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Welcome to MSE. First of all, this site is not meant to solve homework problems for you. If you need help, please let us know how you tried to solve the problem and also which methods you have available.
$endgroup$
– James
Jan 2 at 9:57