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

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Finding Distances 2
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When does a line NOT intersect a plane?

When they are parallel

What is the first step to find where a line meets a plane?

Substitute line into plane equation

In what direction is the shortest distance from a point to a plane?

Perpendicular to the plane

What are skew lines?

Lines that don't intersect & aren't parallel

How do you find the normal vector for two skew lines with directions b\mathbf{b} and d\mathbf{d}?

n=b×d\mathbf{n} = \mathbf{b} \times \mathbf{d}

What formula gives distance when line r=a+tn\mathbf{r} = \mathbf{a} + t\mathbf{n} meets a plane?

tn|t\mathbf{n}|

When reflecting a point in a plane, what is true about distances?

Image & object equidistant from plane

To find a reflection, if intersection is at parameter tt, where is the image?

At parameter 2t2t

For skew lines on parallel planes, when do you ADD plane distances from origin?

When planes have opposite sign pp values

Why use normal vector n\mathbf{n} as direction for shortest distance to plane?

It's perpendicular to the plane

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