Vector equation of a curve (HSC SSCE Mathematics Extension 2): Quizzes

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Vector equation of a curve
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What is a vector equation in 3D space?

A mathematical expression

What do parametric equations describe?

Curves in 3D

What does 't' represent in parametric equations?

Time

How is the position vector expressed?

r(t) = f(t)i + g(t)j + h(t)k

What is the first step in converting to Cartesian form?

Derive t from one equation

What does the path of a moving body illustrate?

Trajectory over time

What is the Cartesian form of y = 2t?

y = 6 - 2x

What does the parameter 't' affect?

All coordinates

What is the role of parametric equations?

To model curves

What is the significance of vector equations?

They model dynamic movement

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