Question 1301a

Vectors II: Lines and Planes
Vector Equation of a Line I

Question

Find the equation of the line passing through the points P(−4,2,−4){P \left( - 4, 2, - 4 \right)} and Q(−3,−4,5).{Q \left( - 3, - 4, 5 \right).}

Attempt

l:{l: } r=a+λd,  λ∈R.{\mathbf{r}=\mathbf{a}+\lambda\mathbf{d}, \; \lambda \in \mathbb{R}.}
a={\mathbf{a}=}
({\Biggl(}
),{\Biggr), \quad}
d={\mathbf{d}=}
({\Biggl(}
){\Biggr)}

Answer

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