# Solve parametric equations involving two vectors

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Marol Valencia on 22 Nov 2021
Answered: Shanmukha Voggu on 2 Dec 2021
Hi, I am trying to create a function that finds a vector 'P ' from two parametric lines generated by vectors, these lines are 'O' and 'Bet'. 'P' is the point where these two lines meet. There seems to be a problem with the way I am defining the parameter 't', which describes this lines. How can I solve this?
function [P] = VCI (mag1, X, inicial1, mag2, Y, inicial2)
A = [mag1.*cosd(X) mag1.*sind(X)]'+inicial1;
B = [mag2.*cosd(Y) mag2.*sind(Y)]'+inicial2;
if X==Y || (X==Y+180 || Y==X+180)
syms t real
O= [-mag1.*sind(X).*t mag1.*cosd(X).*t]'+inicial1;
Bet=(A-B).*t+A;
S=solve(O==Bet,t);
P=(A-B).*S+A
end
%The following is an example of what I get when I run the code
>> VCI(10, 50, [0;0], 5, 50, [0;1])
Error using symengine
Array sizes must match.
Error in sym/privBinaryOp (line 1039)
Error in .* (line 323)
X = privBinaryOp(A, B, 'symobj::zipWithImplicitExpansion', '_mult');
Error in VCI (line 9)
P=(A-B).*S+A
Matt J on 22 Nov 2021
You need to demonstrate the problem for us. We don't know how you ran this function or what you see as a result.

Shanmukha Voggu on 2 Dec 2021
Hi Marol,

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