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Please Explain "IJK" To Me

I do not understand how IJK works when a plane or point are not square to the coordinate system. If the plane is square, then I get it. Lets say the point in this picture was square instead of at a slight angle. Then the surface vector would be 1, 0, 0. That makes total sense to me. However, when there is a slight angle, I don't get it. My understanding is that the K value should be non-zero because the plane is clearly rotated about the Z axis...but my K value is 0.

Can someone please attempt to explain this to me in a simple way? Why is "J" my largest value?

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  • How I like to visualize the IJK vector is: If a point travels 1 unit of distance in the given vector, the IJK tells you how much distance it travels in the XYZ axes respectively. So, in your in your example, if you projected your point along the vector shown by 1mm, then it would have moved .9986mm in the X axis, .0523mm in the Y axis, and 0mm in the Z axis.

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  • How I like to visualize the IJK vector is: If a point travels 1 unit of distance in the given vector, the IJK tells you how much distance it travels in the XYZ axes respectively. So, in your in your example, if you projected your point along the vector shown by 1mm, then it would have moved .9986mm in the X axis, .0523mm in the Y axis, and 0mm in the Z axis.

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