Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Vector calculus
Partial derivatives
Geometric interpretation of unit vectors
Orientation angles
Formulas
u = a1 + 2a2 + 3a3
v = b1 + c2 + d3
w = d1 + 2d2 + q3*d3
Partial derivatives of v with respect to q1, q2, q3 in reference frames A, B, C, D
Theorems
Chain rule for partial derivatives
Trigonometric identities for orientation
Suitable Grade Level
Undergraduate