Question

ANSWER

If r=(i^−2j^​−k^)+λ(2i^+j^​+2k^) is parallel to r.(3i^−2j^​−mk^)=14


Then the plane's Normal Vector should be perpendicular to the line

Hence, their dot product will be 0.


⇒(2i^+j^​+2k^).(3i^−2j^​−mk^)=0⇒6−2−2m=0⇒4=2m⇒m=2 

​

Answer 1

Answer:

ANSWER

If

r

=(

i

^

−2

j

^

−

k

^

)+λ(2

i

^

+

j

^

+2

k

^

) is parallel to

r

.(3

i

^

−2

j

^

−m

k

^

)=14

Then the plane's Normal Vector should be perpendicular to the line

Hence, their dot product will be 0.

⇒(2

i

^

+

j

^

+2

k

^

).(3

i

^

−2

j

^

−m

k

^

)=0⇒6−2−2m=0⇒4=2m⇒m=2