An architectural feature of a building is a flat wall that is angled out over the footpath. Measurements (in meters) of three vertices of the wall were recorded against the x,y and z axes:(adsbygoogle = window.adsbygoogle || []).push({});

x- axis is horizontal, the straight boundary of the footpath and the property on which the building sits.

y- axis is horizontal directed at right angles away from the footpath.

z- is vertical

The co-ordinates of the three vertices are:

A(4,1,0), B(1,-4,11), C(24,-1,9)

a) Give two vectors that lie in the plane of the wall

AB=(-3,-5,11) and BC=(23,-5,-2)

Is this correct?

b) Find a vector normal to the wall

Not sure what this means or how to do it

c) Give the equation to the plane of the plane of the wall

???????

d) What angle does the wall make with the footpath

??????

A 5m vertical pole stands with its base at the point (15,-3,0)

e) ?????

f) What is the shortest distance from the top of the pole to the wall

?????

Any help would be great thanks.

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# Homework Help: Distance of top of pole to wall

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