Vectors II: lines and planes

Question code: 1GG3AE2111D1

Question 1204

The line

{l}

passes through the points

{A\left( - 7 , - 7 , 3 \right)}

and

{B\left( - 1 , - 5 , 2 \right).}

The plane

{p}

has equation

{x + y + z = - 39.}

Find

the coordinates of the point of intersection of

{l}

and

{p,}

the acute angle between

{l}

and

{p}

correct to 1 decimal place,

the perpendicular distance from

{A}

{p}

in exact form.

Answer

{\left( - 31 , - 15 , 7 \right).}

{39.1^{\circ}.}

{\frac{28}{3} \sqrt{3}\textrm{ units}.}

Question code: 1GG3AE2111D1