Vectors 1 (AQA A-Level Further Maths): Flashcards

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Finding Distances 1
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Shortest distance from point to line

Perpendicular distance

Scalar product of perpendicular vectors

Zero

Parallel lines direction vectors relationship

Scalar multiples of each other

Distance between parallel lines property

Constant throughout

Skew lines definition

Lines that don't intersect and aren't parallel

Skew lines minimum distance condition

Perpendicular to both direction vectors

Calculus method for minimum distance uses

dxdt=0\frac{dx}{dt} = 0

Minimizing x2x^2 also minimizes

xx

Reflection: AA\overrightarrow{AA'} in terms of AM\overrightarrow{AM}

AA=2AM\overrightarrow{AA'} = 2\overrightarrow{AM}

Reflection: line acts as what to segment AAAA'

Perpendicular bisector

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