identify the coordinates of a point P (1x3) in three distinct matrices

HI! I should identify an identical point P (1x3) within the 3 matrices and in the first 3 columns of these 3 matrices.

For example, given the three matrices A,B,C, the common point (identical point) would be P.

A = [28.0445 -17.2717 83.972 1 2 3
27.8199 -16.986 83.3748 4 5 6
27.2756 -16.339 81.871 7 8 9
25.3805 -14.0329 67.019 10 11 12];

B = [25.3805 -14.0329 67.019 13 14 15
25.3425 -14.0698 66.0921 16 17 18
25.2731 -14.1203 65.1073 19 20 21
25.1719 -14.1617 64.1436 22 23 24];

C = [25.3805 -14.0329 67.019 25 26 27
26.2863 -14.4669 67.2675 28 29 30
27.0031 -14.7142 67.6157 31 32 33
27.7458 -14.9233 68.1745 34 35 36];

P = [25.3805 -14.0329 67.019];

Answer 1

[Fabio Freschi]

You can use ismember

% data
A = [28.0445 -17.2717 83.972 1 2 3
    27.8199 -16.986 83.3748 4 5 6
    27.2756 -16.339 81.871 7 8 9
    25.3805 -14.0329 67.019 10 11 12];

B = [25.3805 -14.0329 67.019 13 14 15
    25.3425 -14.0698 66.0921 16 17 18
    25.2731 -14.1203 65.1073 19 20 21
    25.1719 -14.1617 64.1436 22 23 24];

C = [25.3805 -14.0329 67.019 25 26 27
    26.2863 -14.4669 67.2675 28 29 30
    27.0031 -14.7142 67.6157 31 32 33
    27.7458 -14.9233 68.1745 34 35 36];

% engine
idx = ismember(A(:,1:3),B(:,1:3),'rows') & ismember(A(:,1:3),C(:,1:3),'rows')
P = A(idx,1:3)