Question 1301d

Vectors II: Lines and Planes
Relationship between Point and Line

Question

Given the point P(1,1,−3){P \left( 1, 1, - 3 \right)} and the line
l:r=(1−31)+λ(1−22),  λ∈R,l: \mathbf{r} = \begin{pmatrix} 1 \\ - 3 \\ 1 \end{pmatrix} + \lambda \begin{pmatrix} 1 \\ - 2 \\ 2 \end{pmatrix}, \; \lambda \in \mathbb{R},
does P(1,1,−3){P \left( 1, 1, - 3 \right)} lie on l?{l?}

Attempt

Select the correct option:

Answer

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