The line $l$ passes through the point $A\left( 1,6,-2 \right)$ and is parallel to the vector $\mathb

Question

The line $l$ passes through the point $A\left( 1,6,-2 \right)$ and is parallel to the vector $\mathbf{i}-3\mathbf{j}+\mathbf{k}$. The perpendicular to $l$ from the point $B\left( 4,1,2 \right)$ meets $l$ at point $N$. Find the position vector of $N$ and hence find the shortest distance from $B$ to $l$. [4] Find a vector equation of the line which is a reflection of the line $AB$ in $l$. [4]

Accepted Answer

(i) √42 units; (ii) r = (5,6,-2) + μ(1,5,-4)

2022 JPJC J1 MYE Q5

2022 JPJC J1 MYE Q5

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