Question

If the line x-3/3=y-2/2=z-2/1
is parallel to the plane x - 2y + kz = 4, then kis Xy- 3 1​

Answer 1

Answer:

2/3

Step-by-step explanation:

⇒

∣

∣

∣

∣

i

^

+2

j

^

+λ

k

^

∣

∣

∣

∣

∣

∣

∣

∣

i

^

+2

j

^

+3

k

^

∣

∣

∣

∣

(

i

^

+2

j

^

+λ

k

^

).(

i

^

+2

j

^

+3

k

^

)

=

14

3

⇒

5+λ

2

1+4+9

1+4+3λ

=

14

3

⇒3λ+5=3

5+λ

2

⇒(3λ+5)

2

=9(λ

2

+5)

⇒9λ

2

+25+30λ=9λ

2

+45⇒30λ=20⇒λ=

3

2