Vector and Tensor Analysis

angle angular velocity axes axis closed surface components const constant coordinates coplanar corresponding Darboux vector defined denote derivatives dextral div f divergence theorem ds ds dt dt dual dyadic dyads equation Example fluid formulas geodesic Grad f gradient hence integral invariant direction irrotational k₁ line integral linear lines of curvature motion motor multiplying normal obtain orthogonal osculating plane P₁ parallel particle perpendicular point function position vector prove quaternion r₁ reciprocal relative to F rigid body rot f rotation S₁ scalar scalar product T₁ tangent tensor THEOREM tion transformation triangle unit line vector unit vector vector area vector f vector function zero ди дх მყ