Geometry proofs using vectors (HSC SSCE Mathematics Extension 2): Flashcards
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Practise the cards
10 cards from this deck
What is a vector in geometry?
What is a vector in geometry?
An object with both size and direction.
What does a position vector represent?
What does a position vector represent?
A point's location relative to an origin.
How do you add two vectors?
How do you add two vectors?
Add their corresponding components.
What indicates parallel vectors?
What indicates parallel vectors?
If one vector is a scalar multiple of another.
How to check if vectors are perpendicular?
How to check if vectors are perpendicular?
Use the dot product; it equals zero.
What is the formula for the dot product?
What is the formula for the dot product?
a1b1 + a2b2 + a3b3.
What proves a triangle is right-angled?
What proves a triangle is right-angled?
Vectors AB and AC are perpendicular.
How to prove a quadrilateral is a parallelogram?
How to prove a quadrilateral is a parallelogram?
Show equal vector pairs PQ=RS and QR=SP.
What does the scalar product help calculate?
What does the scalar product help calculate?
Angles and lengths between vectors.
What is the significance of vector operations?
What is the significance of vector operations?
They simplify complex geometric proofs.