Review of 2D vectors (HSC SSCE Mathematics Extension 2): Flashcards
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Practise the cards
10 cards from this deck
What defines a 2D vector?
What defines a 2D vector?
A quantity with size (magnitude) and direction.
How is a position vector defined?
How is a position vector defined?
By x and y coordinates from the origin.
What is the formula for vector magnitude?
What is the formula for vector magnitude?
Magnitude is found using √(a² + b²).
What is a unit vector?
What is a unit vector?
A vector with a length of one, showing direction.
How is a vector expressed in component form?
How is a vector expressed in component form?
As a = xi + yj.
How are 2D vectors visually represented?
How are 2D vectors visually represented?
As directed line segments or pairs (a, b).
What is the unit vector of (3, 4)?
What is the unit vector of (3, 4)?
Unit vector is (3/5, 4/5).
What does a position vector indicate?
What does a position vector indicate?
Movement from the origin to a point.
How do you resolve a vector into components?
How do you resolve a vector into components?
Use cosine and sine based on angle and size.
What is the magnitude of vector (6, 8)?
What is the magnitude of vector (6, 8)?
Magnitude is 10.