# Cross Product and Vector Multiplication

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Melissa on 19 Aug 2013
Commented: Nitin Phadkule on 17 Sep 2021
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.
Melissa on 19 Aug 2013
>> A=[1 2 3]; B=[1 2 3; 4 5 6; 7 8 9]; C=[4; 5; 6];
>> D=cross(A,B*C)
D =
13 -26 13

Roger Stafford on 19 Aug 2013
C = [ cross(A',B(:,1)) , cross(A',B(:,2)) , cross(A',B(:,3)) ]\(D');
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.

joseph agno on 7 Oct 2020
• Find the Matlab command to carry out the cross product of two vectors b and c and try it out on two vectors.

muhammad asif on 11 Oct 2020
if n corss n = ny
how to write cross in symbol notation form in matlab
Nitin Phadkule on 17 Sep 2021

muhammad asif on 11 Oct 2020
circle statement
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!