Further Applications of Dot and Cross Product Q1

Further Applications of Dot and Cross Product Q1

TGM Original Questions

The equation of line \({{l}_{1}}\) is given by \(\mathrm{r}=\left( \begin{matrix} 2 \\ 1 \\ 0 \end{matrix} \right)+\lambda \left( \begin{matrix} 1 \\ 2 \\ -1 \end{matrix} \right)\) . Another line \({{l}_{2}}\) is parallel to the line \({{l}_{1}}\) and passes through \(A\left( 3,1,-2 \right)\). Find the exact distance between the lines \({{l}_{1}}\) and \({{l}_{2}}\).

Video Solution:

Video Solution

Video solution locked

A free account saves your progress; this video needs tuition enrolment.

Solution:

Solution locked

680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs tuition enrolment.

Create a free account to practise similar questions.

Answer:\(\dfrac{\sqrt{14}}2\) units

Need help? Join our JC Math tuition classes.

Learn more