# Cross Product and Vector Multiplication

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If i have the following 4 vectors:

D=Ax(B*C)

How would I solve for C?

Try and make this a tab bit more clear. I have A is a 1x3 matrix, B is a 3x3 matrix C is a 3x1 matrix and D is a 1x3 matrix. I am trying to solve for C. The problem is stated as A cross the product B*C equals D.

### Accepted Answer

Roger Stafford
on 19 Aug 2013

C = [ cross(A',B(:,1)) , cross(A',B(:,2)) , cross(A',B(:,3)) ]\(D');

##### 4 Comments

Roger Stafford
on 19 Aug 2013

There is a way to obtain a unique value for C that satisfies your equation. Let C be given by:

C = B\(cross(D',A')/dot(A,A));

This is the unique C such that

D' = cross(A',B*C)

and

dot(B*C,A') = 0

That is, such that B*C is orthogonal to A'. It assumes that D is orthogonal to A and that B is non-singular.

### More Answers (3)

joseph agno
on 7 Oct 2020

##### 0 Comments

muhammad asif
on 11 Oct 2020

circle statement

##### 1 Comment

Steven Lord
on 11 Oct 2020

Do you mean n times n? If so use the * operator.

But please do not put your own files in any subdirectory under the matlabroot directory!

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