Unit 13.2 Worked Example 4

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The line \({{l}_{3}}\) which passes through \(B\left( 7,4,-5 \right)\) and is parallel to the direction vector \(\left( \begin{matrix}4 \\4 \\-7 \\\end{matrix} \right)\). The plane \({{p}_{1}}\) has the equation \(x-3y+2z=-5\). Find

(i)

the coordinates of point of intersection between the line \({{l}_{3}}\) and plane \({{p}_{1}}\),

(ii)

the acute angle between the line \({{l}_{3}}\) and plane \({{p}_{1}}\),

(iii)

the equation of line of the image of line \({{l}_{3}}\) in plane \({{p}_{1}}\).

(i)
(ii)
(iii)

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H2 Math Summary Notes

Pure Mathematics

Unit 13.2 Worked Example 4

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