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Please Explain "IJK" To Me

Lukas Frey

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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  • I is the vector direction of the X axis

    J is vector direction of the Y axis

    K is the vector direction of the Z axis.

    What you have is a plane that has a vector direction that's just a hair (3°) skewed upwards into the X- J direction.

    so you have all but the inverse of the 3° in X (I vector)

    then you have that 3° in J (J vector) 

    and you know for certain that you have no compound angles to that plane, as the Z (K vector is zero).  this means the vector is parallel perpendicular to Z.

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  • I is the vector direction of the X axis

    J is vector direction of the Y axis

    K is the vector direction of the Z axis.

    What you have is a plane that has a vector direction that's just a hair (3°) skewed upwards into the X- J direction.

    so you have all but the inverse of the 3° in X (I vector)

    then you have that 3° in J (J vector) 

    and you know for certain that you have no compound angles to that plane, as the Z (K vector is zero).  this means the vector is parallel perpendicular to Z.

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