Find the distance of the point (1,-2,9) from the point of intersection of the line \overrightarrow{r}=4 \stackrel{\^}{i}+2 \stackrel{\^}{j}+7 \stackrel{\^}{k}+\lambda(3 \stackrel{\^}{i}+4 \stackrel{\^}{j}+2 \stackrel{\^}{k}) and the plane { {\r}}^{\to} \cdot(\stackrel{\^}{ {\i}}-\stackrel{\^}{ {\j}}+\stackrel{\^}{ {\k}})=10

CBSE Class 12 Math 2022 (Term II) Outside Delhi Set 1 Solved ...

Question : 13 of 14

Marks: +1, -0

Find the distance of the point

(1,-2,9)

from the point of intersection of the line

{r}↖{→}=4 {i}↖{\^}+2 {j}↖{\^}+7 {k}↖{\^}+λ(3 {i}↖{\^}+4 {j}↖{\^}+2 {k}↖{\^})

and the plane

{ {\r}}↖{→} ⋅({ {\i}↖{\^}}-{ {\j}↖{\^}}+{ {\k}↖{\^}})=10

Solution:

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