Question 1301d

Vectors II: Lines and Planes
Relationship between Point and Line

Question

Given the point P(5,3,3){P \left( - 5, - 3, - 3 \right)} and the line
l:r=(433)+λ(124),  λR,l: \mathbf{r} = \begin{pmatrix} - 4 \\ 3 \\ - 3 \end{pmatrix} + \lambda \begin{pmatrix} 1 \\ 2 \\ 4 \end{pmatrix}, \; \lambda \in \mathbb{R},
does P(5,3,3){P \left( - 5, - 3, - 3 \right)} lie on l?{l?}

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Answer

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