Question 1301d

Vectors II: Lines and Planes
Relationship between Point and Line

Question

Given the point P(−10,11,2){P \left( - 10, 11, 2 \right)} and the line
l:r=(20−1)+λ(4−3−1),  λ∈R,l: \mathbf{r} = \begin{pmatrix} 2 \\ 0 \\ - 1 \end{pmatrix} + \lambda \begin{pmatrix} 4 \\ - 3 \\ - 1 \end{pmatrix}, \; \lambda \in \mathbb{R},
does P(−10,11,2){P \left( - 10, 11, 2 \right)} lie on l?{l?}

Attempt

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Answer

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