Mathematical basics 1

Source: Internet
Author: User

Set a = (A1, A2, A3), B = (B1, B2, B3 ),

A (x1, Y1, Z1), B (X2, Y2, Z2 ),

Then a + B = (A1 + B1, A2 + B2, A3 + B3 );

A-B = (a1-b1, a2-b2, a3-b3 );

λ A = (λ A1, λ A2, λ A3) (λ ε r );

A · B = a1b1 + A2B2 + a3b3;

A between B a1 = λ B1, a2 = λ B2, A3 = λ B3 (λ ε r );

A ⊥ B a1b1 + A2B2 + a3b3 = 0;

= (X2-x1, y2-y1, z2-z1 ).

The angle formula of the vector is used to obtain the angle of the isosurface line.

Set a = (A1, A2, A3), B = (B1, B2, B3 ),

Then | A | =,

,

Note: If the value is a negative value, the complement angle of the angle is the angle of the line of the isosurface. If the value is positive, the angle is the angle of the angle.

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