Vector calculus — Topic Review | Year 12

QUICK RECAP

Connect the ideas

Keep the parameter range and orientation after elimination.

Collision requires one common time.

Bézier endpoint controls lie on the path; interior controls set its shape.

Vector calculus operates componentwise.

Speed is velocity magnitude, not its coordinate sum.

Check zero derivative components before dividing.

Arc length integrates speed, not signed displacement.

Complete each paper and show your working.

Vector calculus — Test 1
10 questions · 60 marks · 75 minutes · Scientific calculator
Parametric foundations and motion.
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Vector calculus — Test 2
10 questions · 60 marks · 75 minutes · Scientific calculator
Trace restrictions, branches and repeated paths.
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Vector calculus — Test 3
10 questions · 60 marks · 75 minutes · Scientific calculator
Polynomial, Bezier and vector applications.
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Vector calculus — Test 4
10 questions · 60 marks · 75 minutes · Scientific calculator
Tangent directions and three-dimensional travel.
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Vector calculus — Test 5
10 questions · 60 marks · 75 minutes · Technology-assisted
Reasoning about speed, rest and numerical arc length.
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Vector calculus — Test 6
10 questions · 60 marks · 75 minutes · Scientific calculator
Joined curves and combined parametric reasoning.
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