Find the vector equation of each one of following plane: `2x-y+2z=8`

Explanation

The given equation of the plane is `2 x-y+2 z=8`

This is in Cartesian form, to convert this to vector form, this can be done as shown below:


`(x \hat{\i}+y \hat{\j}+z \hat{k}) \cdot(2 \hat{\i}-\hat{\j}+2 \hat{k})=8`


We know `xî +y \hat{\j}+z \hat{k}=\vec{r}`

Hence the above equation becomes,


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