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

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Finding Distances 1
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What type of distance is the shortest distance from a point to a line?

Perpendicular distance

What is the scalar product of two perpendicular vectors?

Zero

Two lines are parallel if their direction vectors are what?

Scalar multiples of each other

What is true about the distance between parallel lines?

It is constant throughout

What are skew lines?

Lines that don't intersect & aren't parallel

How many perpendicular conditions are needed for finding distance between skew lines?

Two (one for each direction vector)

In the calculus method, why minimize x2x^2 instead of xx?

It simplifies algebra considerably

In reflections, what is the relationship between AA\overrightarrow{AA'} and AM\overrightarrow{AM}?

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

Which is the third step in the geometric method for point-to-line distance?

Solve for the parameter λ\lambda

When a point is reflected in a line, the line acts as a what?

Perpendicular bisector of segment AAAA'

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