How can I find the component of this 3D tensor in a 2D space?
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Good day Dear community,
I'm really new in this field, so I truly appreciate your help and advises. I have this math problem:
Consider the two mutually perpendicular unit vectors:
$$i_a=3/5 i_1-4/5 i_2$$
$$i_b=4/5 i_1+3/5 i_2$$
Also, I have this Tensor:
$$[A]=begin{bmatrix}-2&3&1\4&2&3\-2&1&0end{bmatrix}$$
I need to find the component of the tensor $A_{ab}$
Thanks ind advance for any help!
tensor-products tensors
asked Dec 6 '18 at 14:19
Leonardo H. Talero-SarmientoLeonardo H. Talero-Sarmiento
13
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add a comment |
$begingroup$
Good day Dear community,
I'm really new in this field, so I truly appreciate your help and advises. I have this math problem:
Consider the two mutually perpendicular unit vectors:
$$i_a=3/5 i_1-4/5 i_2$$
$$i_b=4/5 i_1+3/5 i_2$$
Also, I have this Tensor:
$$[A]=begin{bmatrix}-2&3&1\4&2&3\-2&1&0end{bmatrix}$$
I need to find the component of the tensor $A_{ab}$
Thanks ind advance for any help!
tensor-products tensors
asked Dec 6 '18 at 14:19
Leonardo H. Talero-SarmientoLeonardo H. Talero-Sarmiento
13
$endgroup$
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Since you only mention two unit vectors this suggests your underlying space has two dimensions - but your tensor components have three dimensions. Which is correct ?
$endgroup$
– gandalf61
Dec 6 '18 at 15:34
$begingroup$
Yes, You're right. I'm going to modify the post. Thanks!
$endgroup$
– Leonardo H. Talero-Sarmiento
Dec 6 '18 at 15:37
add a comment |
$begingroup$
Good day Dear community,
I'm really new in this field, so I truly appreciate your help and advises. I have this math problem:
Consider the two mutually perpendicular unit vectors:
$$i_a=3/5 i_1-4/5 i_2$$
$$i_b=4/5 i_1+3/5 i_2$$
Also, I have this Tensor:
$$[A]=begin{bmatrix}-2&3&1\4&2&3\-2&1&0end{bmatrix}$$
I need to find the component of the tensor $A_{ab}$
Thanks ind advance for any help!
tensor-products tensors
asked Dec 6 '18 at 14:19
Leonardo H. Talero-SarmientoLeonardo H. Talero-Sarmiento
13
$endgroup$
Good day Dear community,
I'm really new in this field, so I truly appreciate your help and advises. I have this math problem:
Consider the two mutually perpendicular unit vectors:
$$i_a=3/5 i_1-4/5 i_2$$
$$i_b=4/5 i_1+3/5 i_2$$
Also, I have this Tensor:
$$[A]=begin{bmatrix}-2&3&1\4&2&3\-2&1&0end{bmatrix}$$
I need to find the component of the tensor $A_{ab}$
Thanks ind advance for any help!
tensor-products tensors
tensor-products tensors
asked Dec 6 '18 at 14:19
Leonardo H. Talero-SarmientoLeonardo H. Talero-Sarmiento
13
asked Dec 6 '18 at 14:19
Leonardo H. Talero-SarmientoLeonardo H. Talero-Sarmiento
13
edited Dec 6 '18 at 15:40
Leonardo H. Talero-Sarmiento
asked Dec 6 '18 at 14:19
Leonardo H. Talero-SarmientoLeonardo H. Talero-Sarmiento
13
asked Dec 6 '18 at 14:19
Leonardo H. Talero-SarmientoLeonardo H. Talero-Sarmiento
13
asked Dec 6 '18 at 14:19
Leonardo H. Talero-SarmientoLeonardo H. Talero-Sarmiento
13
13
$begingroup$
Since you only mention two unit vectors this suggests your underlying space has two dimensions - but your tensor components have three dimensions. Which is correct ?
$endgroup$
– gandalf61
Dec 6 '18 at 15:34
$begingroup$
Yes, You're right. I'm going to modify the post. Thanks!
$endgroup$
– Leonardo H. Talero-Sarmiento
Dec 6 '18 at 15:37
add a comment |
$begingroup$
Since you only mention two unit vectors this suggests your underlying space has two dimensions - but your tensor components have three dimensions. Which is correct ?
$endgroup$
– gandalf61
Dec 6 '18 at 15:34
$begingroup$
Yes, You're right. I'm going to modify the post. Thanks!
$endgroup$
– Leonardo H. Talero-Sarmiento
Dec 6 '18 at 15:37
$begingroup$
Since you only mention two unit vectors this suggests your underlying space has two dimensions - but your tensor components have three dimensions. Which is correct ?
$endgroup$
– gandalf61
Dec 6 '18 at 15:34
$begingroup$
Since you only mention two unit vectors this suggests your underlying space has two dimensions - but your tensor components have three dimensions. Which is correct ?
$endgroup$
– gandalf61
Dec 6 '18 at 15:34
$begingroup$
Yes, You're right. I'm going to modify the post. Thanks!
$endgroup$
– Leonardo H. Talero-Sarmiento
Dec 6 '18 at 15:37
$begingroup$
Yes, You're right. I'm going to modify the post. Thanks!
$endgroup$
– Leonardo H. Talero-Sarmiento
Dec 6 '18 at 15:37
add a comment |
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$begingroup$
Since you only mention two unit vectors this suggests your underlying space has two dimensions - but your tensor components have three dimensions. Which is correct ?
$endgroup$
– gandalf61
Dec 6 '18 at 15:34
$begingroup$
Yes, You're right. I'm going to modify the post. Thanks!
$endgroup$
– Leonardo H. Talero-Sarmiento
Dec 6 '18 at 15:37