Question 1301d

Vectors II: Lines and Planes
Relationship between Point and Line

Question

Given the point P(0,−5,0){P \left( 0, - 5, 0 \right)} and the line
l:r=(3−1−5)+λ(44−5),  λ∈R,l: \mathbf{r} = \begin{pmatrix} 3 \\ - 1 \\ - 5 \end{pmatrix} + \lambda \begin{pmatrix} 4 \\ 4 \\ - 5 \end{pmatrix}, \; \lambda \in \mathbb{R},
does P(0,−5,0){P \left( 0, - 5, 0 \right)} lie on l?{l?}

Attempt

Select the correct option:

Answer

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