Find the vector equation of the plane ` vec r=(1+s-t) hat i+(2-s) hat j+(3-2s+2t) hat k` in non-parametric form.

Explanation

It is known that the equation `vec{r}=vec{a}+lambda vec{b}+mu vec{c}` represents a plane passing through a point whose position vector is `vec{a}`

Given;

` vec{r}=(1+s-t) hat{1}+(2-s) hat{j}+(3-2 s+2 t) hat{k}`


`vec{r}=(hat{i}+2 hat{j}+3 hat{k})+s(hat{i}-hat{j}-2 hat{k})+t(-hat{i}+2 hat{k})`


Here, `vec{a}=hat{1}+2 hat{j}+3 hat{k}`


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