Question 1301d

Vectors II: Lines and Planes
Relationship between Point and Line

Question

Given the point P(4,4,0){P \left( 4, 4, 0 \right)} and the line
l:r=(313)+λ(111),  λR,l: \mathbf{r} = \begin{pmatrix} 3 \\ - 1 \\ - 3 \end{pmatrix} + \lambda \begin{pmatrix} 1 \\ - 1 \\ - 1 \end{pmatrix}, \; \lambda \in \mathbb{R},
does P(4,4,0){P \left( 4, 4, 0 \right)} lie on l?{l?}

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Answer

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