Mathematics · 2020
JEE Main · 3 September 2020, Shift 1 · Q66
The lines r =( i - j )+l(2 i + k ) and r =(2 i - j )+ m ( i + j - k )
The lines $\displaystyle \overrightarrow{\mathrm{r}}=(\hat{i}-\hat{j})+l(2 \hat{i}+\hat{k})$ and
$$\overrightarrow{\mathrm{r}}=(2 \hat{i}-\hat{j})+\mathrm{m}(\hat{i}+\hat{j}-\hat{k})
$$
Official answer
(4)
do not intersect for any values of $\displaystyle l$ and m
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.