help me please :((

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steve jobs
steve jobs on 16 Apr 2022
Edited: Image Analyst on 16 Apr 2022
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Find the volume of the box ABCD.A'B'C'D' whose vertices are equal to the determinant of vertices A(0,0,0), B(1,0,0) A'(0,0,3), B'(1,0,3) C(1,2,0), D(0,2,0) C'(1,2,3), D'(0,2,3)

Answers (1)

Image Analyst
Image Analyst on 16 Apr 2022
Edited: Image Analyst on 16 Apr 2022
Try using plot3() to plot the data. Perhaps visualizing it is the first step to solving it.
% A(0,0,0), B(1,0,0) A'(0,0,3), B'(1,0,3) C(1,2,0), D(0,2,0) C'(1,2,3), D'(0,2,3)
data = [0,0,0; 1,0,0; 0,0,3; 1,0,3; 1,2,0; 0,2,0; 1,2,3; 0,2,3]'
x = data(1,:);
y = data(2,:);
z = data(3,:);
plot3(x, y, z, 'b.', 'MarkerSize', 40);
grid on;
xlabel('x');
ylabel('y');
zlabel('z');
Another hint: use max() and min() to get the range of the x, y, and z data and use the fact that you know the shape to be a perfectly rectangular block.
After that, read these:

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