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The lines \(\vec{r}=(\hat{i}-\hat{j})+l(2 \hat{i}+\hat{k})\) and \(\vec{r}=(2 \hat{i}-\hat{j})+m(\hat{i}+\hat{j}-\hat{k}…

Q1

The lines \(\vec{r}=(\hat{i}-\hat{j})+l(2 \hat{i}+\hat{k})\) and \(\vec{r}=(2 \hat{i}-\hat{j})+m(\hat{i}+\hat{j}-\hat{k})\)


[JEE Main 2020, 3 Sep (Shift 1)]

a

Do not intersect for any values of \(l\) and \(m\)

b

Intersect for all values of \(l\) and \(m\)

c

Intersect when \(l=2\) and \(m=\frac{1}{2}\)

d

Intersect when \(l=1\) and \(m=2\)

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