Vectors 2 (AQA A-Level Further Maths): Flashcards

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Finding Distances 2
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Line intersects plane unless...

They are parallel

First step: line-plane intersection

Substitute line into plane equation

Shortest point-to-plane distance direction

Perpendicular to the plane

Vector for perpendicular line to plane

Normal vector n\mathbf{n}

Point-to-plane distance formula (parameter λ\lambda)

λn|\lambda\mathbf{n}|

Skew lines definition

Don't intersect and aren't parallel

Where skew lines lie

On parallel planes

Normal to skew lines with directions b\mathbf{b}, d\mathbf{d}

b×d\mathbf{b} \times \mathbf{d}

Reflection: object and image distance from plane

Equal (equidistant)

Reflection method: why double tt?

Intersection is midpoint of point and image

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