Vectors (AQA A-Level Computer Science): Flashcards

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Vectors
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Three ways vectors represented in CS

Data structure, function, geometric arrow

Meaning of notation F:S→RF: S \to R

Function FF maps domain SS to range RR

Two key properties of vector arrows

Magnitude (length) and direction

Purpose of column vector notation

Distinguishes vectors from coordinate points

How to add vectors componentwise

Add corresponding components: (A1+B1,A2+B2,A3+B3)(A_1+B_1, A_2+B_2, A_3+B_3)

Effect of scalar multiplication on vector

Changes magnitude only, direction unchanged

Result type of dot product A⋅B\mathbf{A} \cdot \mathbf{B}

Scalar (single number)

Dot product formula for 2D vectors

AxBx+AyByA_x B_x + A_y B_y (multiply components, then sum)

Convex combination constraints for α\alpha and β\beta

α≥0\alpha \geq 0, β≥0\beta \geq 0, α+β=1\alpha + \beta = 1

Vector graphics advantage over bitmap

Scale infinitely without losing quality

Explore AQA A-Level Computer Science Revision Notes by Topics

Data Structures and Abstract Data Types

Queues and Stacks

Graphs and Trees

Hash Tables and Dictionaries

Vectors

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Data Structures and Abstract Data Types

Queues and Stacks

Graphs and Trees

Hash Tables and Dictionaries

Vectors

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Data Structures and Abstract Data Types

Queues and Stacks

Graphs and Trees

Hash Tables and Dictionaries

Vectors

Explore AQA A-Level Computer Science Exam Questions by Topics

Data Structures and Abstract Data Types

Queues and Stacks

Graphs and Trees

Hash Tables and Dictionaries

Vectors

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