Vectors in component form (HSC SSCE Mathematics Extension 1): Flashcards
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What is a vector in two dimensions?
What is a vector in two dimensions?
A quantity with size and direction.
How is the magnitude of a vector calculated?
How is the magnitude of a vector calculated?
Using the formula |a| = √(x^2 + y^2).
What is a unit vector?
What is a unit vector?
A vector with length 1, keeping the same direction.
How to represent a vector in component form?
How to represent a vector in component form?
Split into x and y parts, shown as (x, y).
How to convert a vector into a unit vector?
How to convert a vector into a unit vector?
Divide the vector by its magnitude.
How to find the size and direction of a vector?
How to find the size and direction of a vector?
Size: √(x^2 + y^2), Direction: tan^-1(y/x).
How to add vectors?
How to add vectors?
Add corresponding x and y components separately.
How to subtract vectors?
How to subtract vectors?
Subtract corresponding x and y components separately.
How are vectors expressed with pairs and columns?
How are vectors expressed with pairs and columns?
Pairs: (a, b); Columns: (a, b)^T.
What does the arrow show in a vector diagram?
What does the arrow show in a vector diagram?
The direction and length represent the vector.