Asked by Zheng
Compute the distance between the parallel lines given by
\[\begin{pmatrix} 1 \\ 4 \end{pmatrix} + t \begin{pmatrix} 4 \\ 3 \end{pmatrix}\]
and
\[\begin{pmatrix} -5 \\ 6 \end{pmatrix} + s \begin{pmatrix} 4 \\ 3 \end{pmatrix}.\]
\[\begin{pmatrix} 1 \\ 4 \end{pmatrix} + t \begin{pmatrix} 4 \\ 3 \end{pmatrix}\]
and
\[\begin{pmatrix} -5 \\ 6 \end{pmatrix} + s \begin{pmatrix} 4 \\ 3 \end{pmatrix}.\]
Answers
Answered by
Steve
one way: determine where a perpendicular line intersects each, and find the distance between the two points of intersection.
another way: determine the equation of one of the lines, then find the distance to it from a point on the other line, suing the formula
d = |Ax+By+C|/√(A^2+B^2)
another way: determine the equation of one of the lines, then find the distance to it from a point on the other line, suing the formula
d = |Ax+By+C|/√(A^2+B^2)
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.