Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
JEE Advanced 2019 Paper 1 Mathematics Q12
Mathematics
Problem
Let L₁ and L₂ denote the lines
r
⃗
\vec{r}
r
= î + λ(−î + 2ĵ + 2
k
^
\hat{k}
k
^
), λ ∈ ℝ and
r
⃗
\vec{r}
r
= μ(2î − ĵ + 2
k
^
\hat{k}
k
^
), μ ∈ ℝ respectively. If L₃ is a line which is perpendicular to both L₁ and L₂ and cuts both of them, then which of the following options describe(s) L₃?
Browse the problem library