Question 1301d

Vectors II: Lines and Planes
Relationship between Point and Line

Question

Given the point P(3,−2,−3){P \left( 3, - 2, - 3 \right)} and the line
l:r=(32−2)+λ(520),  λ∈R,l: \mathbf{r} = \begin{pmatrix} 3 \\ 2 \\ - 2 \end{pmatrix} + \lambda \begin{pmatrix} 5 \\ 2 \\ 0 \end{pmatrix}, \; \lambda \in \mathbb{R},
does P(3,−2,−3){P \left( 3, - 2, - 3 \right)} lie on l?{l?}

Attempt

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Answer

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