Let L1 and L2 denoted the lines →r=⋀i+λ(−⋀i+2⋀j+2⋀k),λ∈R and →r=µ(2⋀i−⋀j+2⋀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?[JEE Adv 2019 P1]

Question

Let L1 and L2 denoted the lines

→

r

=

⋀

i

+λ(−

⋀

i

+2

⋀

j

+2

⋀

k

),λ∈R and

→

r

=µ(2

⋀

i

−

⋀

j

+2

⋀

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?

[JEE Adv 2019 P1]

Answer

→

r

=‌‌

2

9

(2

⋀

i

−

⋀

j

+2

⋀

k

)+t(2

⋀

i

+2

⋀

j

−

⋀

k

),t∈R

Answer

→

r

=t(2

⋀

i

+2

⋀

j

−

⋀

k

),t∈R

Answer

→

r

=‌‌

2

9

(4

⋀

i

+

⋀

j

+

⋀

k

)+t(2

⋀

i

+2

⋀

j

−

⋀

k

),t∈R

Answer

→

r

=‌‌

1

3

(2

⋀

i

+

⋀

k

)+t(2

⋀

i

+2

⋀

j

−

⋀

k

),t∈R

JEE Advanced 2019 Paper 1

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