Question 1301d

Vectors II: Lines and Planes
Relationship between Point and Line

Question

Given the point P(−4,−5,2){P \left( - 4, - 5, 2 \right)} and the line
l:r=(23−3)+λ(2−3−5),  λ∈R,l: \mathbf{r} = \begin{pmatrix} 2 \\ 3 \\ - 3 \end{pmatrix} + \lambda \begin{pmatrix} 2 \\ - 3 \\ - 5 \end{pmatrix}, \; \lambda \in \mathbb{R},
does P(−4,−5,2){P \left( - 4, - 5, 2 \right)} lie on l?{l?}

Attempt

Select the correct option:

Answer

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