Q: The equation for the ellipsoid of inertia of a solid body is P(x) = 4x₁² + 4x₂² + x₃² − 2x₁x₂. What is the standard form in terms of a new orthogonal set of axes O(y₁, y₂, y₃)?
(a)y₁² − 3y₂² + 3y₃³
(b)y₁² + 5y₂² + 3y₃²
(c)y₁² − 5y₂² + 3y₃²
(d)y₁² − 5y₂² − 3y₃²
Correct Answer: (b)
Detailed explanation coming soon.