Angle between two planes given xyz coordinate data from each plane

3 ビュー (過去 30 日間)
Gabriella Sandberg
Gabriella Sandberg 2022 年 9 月 8 日
I have 4 points in one plane and 3 points on another plane. How do I use this data to calculate the angle between the two planes generated by the xyz coordinates? Here is what I have tried so far, but I don't get a number as an answer. Any help would be appreciated!
%Proximal Plane
P1 = [1,-1,3];
P2 = [2,3,4];
P3 = [-5,6,7];
normal = cross(P1-P2, P1-P3);
syms x y z
P_p = [x,y,z]
realdot = @(u, v) u*transpose(v);
planefunction = realdot(normal, P_p-P1);
%Distal Plane
P4 = [4,-2,4];
P5 = [1,7,5];
P6 = [-3,5,9];
normal2 = cross(P4-P5, P4-P6);
syms x1 y1 z1
P_d = [x1,y1,z1]
realdot = @(u, v) u*transpose(v);
planefunction2 = realdot(normal2, P_d-P4);
angle = acosd((realdot(P_p,P_d)/norm(P_p)*norm(P_d)))

採用された回答

David Hill
David Hill 2022 年 9 月 8 日
P1 = [1,-1,3];
P2 = [2,3,4];
P3 = [-5,6,7];
normal = cross(P1-P2, P1-P3);
P4 = [4,-2,4];
P5 = [1,7,5];
P6 = [-3,5,9];
normal2 = cross(P4-P5, P4-P6);
Angle=acosd(abs(sum(normal.*normal2))/norm(normal)/norm(normal2));
  2 件のコメント
James Tursa
James Tursa 2022 年 9 月 9 日
Or
Angle = atan2(norm(cross(normal,normal2)),dot(normal,normal2));
Gabriella Sandberg
Gabriella Sandberg 2022 年 9 月 9 日
If I use the tan function over the cos function, would it calculate the same angle? Thank you both for your input.

サインインしてコメントする。

その他の回答 (0 件)

カテゴリ

Help Center および File ExchangeConversion Between Symbolic and Numeric についてさらに検索

タグ

製品


リリース

R2019b

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by