WJEC Further Unit 1 2022 June — Question 3

Exam BoardWJEC
ModuleFurther Unit 1 (Further Unit 1)
Year2022
SessionJune
TopicVectors: Lines & Planes

3. The vector equation of the line \(L\) is given by $$\mathbf { r } = - \mathbf { i } + 2 \mathbf { j } - 6 \mathbf { k } + \lambda ( 4 \mathbf { i } - 2 \mathbf { j } + 7 \mathbf { k } ) .$$ The Cartesian equation of the plane \(\Pi\) is given by $$3 x + 8 y - 9 z = 0$$ Find the Cartesian coordinates of the point of intersection of \(L\) and \(\Pi\).