Question 1307

Vectors II: Lines and Planes

2007 Paper 1 Question 8 Variant

Question

The line

{l}

passes through the points

{A}

and

{B}

with coordinates

{\left( 1, 4, 1 \right)}

and

{\left( 1, - 4, 5 \right)}

respectively. The plane

{p}

has equation

{5 x + 4 y - 5 z = 68.}

Find

(i)

The coordinates of the point of intersection of

{l}

and

{p,}

[5]

(ii)

The acute angle between

{l}

and

{p,}

[3]

(iii)

The perpendicular distance from

{A}

to

{p.}

[3]

Answer

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