Cross Product and Vector Multiplication

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Melissa
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.
  4 Comments
Melissa
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

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Accepted Answer

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

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More Answers (3)

joseph agno
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
muhammad asif on 11 Oct 2020
if n corss n = ny
how to write cross in symbol notation form in matlab

muhammad asif
muhammad asif on 11 Oct 2020
circle statement
  1 Comment
Steven Lord
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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