MATLAB: Cross Product and Vector Multiplication

cross productmatrix multiplcation

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 1×3 matrix, B is a 3×3 matrix C is a 3×1 matrix and D is a 1×3 matrix. I am trying to solve for C. The problem is stated as A cross the product B*C equals D.

Best Answer

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

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MATLAB: Symbolic calculation can’t get merged correctly

Try simplify()

syms a b c d
A=[a b c; b -a d; c d -a;];
A=inv(A);
B=[-d;-c;-b];
simplify(A*B)

Result

ans =
 -(a^2*d + 2*a*b*c + b^2*d + c^2*d - d^3)/(a^3 + a*b^2 + a*c^2 - a*d^2 + 2*b*c*d)
              (c*(a^2 - b^2 + c^2 - d^2))/(a^3 + a*b^2 + a*c^2 - a*d^2 + 2*b*c*d)
              (b*(a^2 + b^2 - c^2 - d^2))/(a^3 + a*b^2 + a*c^2 - a*d^2 + 2*b*c*d)

MATLAB: How to get the vector from a Point orthogonal to a Vector

x=(A-C)-dot(A-C,A-B)/dot(A-B,A-B)*(A-B)

Best wishes

Torsten.

Best Answer

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MATLAB: Symbolic calculation can’t get merged correctly

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