Quantities, Units & Modelling (Edexcel A-Level Mathematics): Flashcards

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Scalars & Vectors
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Scalar definition

Quantity with magnitude only

Vector definition

Quantity with magnitude and direction

4 examples of scalars

Speed, distance, time, mass

4 examples of vectors

Velocity, displacement, force, acceleration

Vector arrow length represents

Magnitude

Vector arrow direction represents

Direction

Graphical vector addition method

Place head-to-tail, draw resultant tail to head

Mathematical vector addition method

Break into components, add, recombine

Resultant vector meaning

Combined effect of two or more vectors

Scalar multiplication effect on magnitude

Increases or decreases it

Scalar multiplication effect on direction

No change

Formula: vector direction angle

tanθ=oppositeadjacent\tan \theta = \frac{\text{opposite}}{\text{adjacent}}

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