Find the Cartesian form of equation of a plane whose vector equation is : ` vec rdot((12 hat i-3 hat j+4 hat k)+5=0`

Explanation

`\vec{r} \cdot(12 \hat{i}-3 \hat{j}+4 \hat{k})+5=0`


Given the vector equation of a plane,


`{{r}} \cdot(12 \hat{\imath}-3 \hat{\jmath}+4 \hat{{k}})+5=0`

Let `{{r}}=({x} \hat{\imath}+{y} \hat{\jmath}+{z} \hat{{k}})`


Then, the given vector equation becomes,
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