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Lesson 1 Quiz: Three-Dimensional Cartesian Coordinates and Vector Operations

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1.
If the tangent to y = x2 - 4x + 5 is parallel to the x-axis, the point of tangency is:
(4, 5)
(2, 0)
(0, 5)
(2, 1)
2.
What is the rigorous mathematical principle for: Equilibrium of a Rigid Body in Classical Statics?
Static equilibrium requires only that horizontal forces balance out (Σ F_x = 0)
A rigid body is in complete static equilibrium if and only if both resultant force vector equals zero (Σ F = 0) and total algebraic moment about any point equals zero (Σ M = 0)
Moment of a force is a scalar quantity independent of perpendicular distance
A body is in equilibrium if it rotates with constant angular acceleration
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