Find the vector equation of the following planes in scalar product form `( -> rdot -> n=d): -> r= hat i- hat j+lambda( hat i+ hat j+ hat k)+mu(4 hat i-2 hat j+3 hat k)dot`

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}`

so,` vec{a}=hat{1}-hat{j}`


`vec{b}=hat{1}+hat{j}+hat{k} `

`vec{c}=-4 hat{1}-2 hat{j}+3 hat{k}`



Normal vector, `vec{n}=vec{b} times c`
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