Find the vector and Cartesian forms of the equation of the plane passing through the point (1, 2, −4) and parallel to the linesr→=i^+2j^-4k^+λ2i^+3j^+6k^ and r→=i^-3j^+5k^+μi^+j^-k^. Also, find the distance of the point (9, −8, −10) from the plane thus obtained. [CBSE 2014]

Find the vector and Cartesian forms of the equation of the plane passi

1.	Find the vector and Cartesian forms of the equation of the plane passing through the point (1, 2, −4) and parallel to the linesr→=i^+2j^-4k^+λ2i^+3j^+6k^ and r→=i^-3j^+5k^+μi^+j^-k^. Also, find the distance of the point (9, −8, −10) from the plane thus obtained. [CBSE 2014]
Answer» Find the vector and Cartesian forms of the equation of the plane passing through the point (1, 2, −4) and parallel to the lines $\vec{r} = (\hat{i} + 2 \hat{j} - 4 \hat{k}) + λ (2 \hat{i} + 3 \hat{j} + 6 \hat{k})$ and $\vec{r} = (\hat{i} - 3 \hat{j} + 5 \hat{k}) + μ (\hat{i} + \hat{j} - \hat{k})$ . Also, find the distance of the point (9, −8, −10) from the plane thus obtained. [CBSE 2014]