Find the vector equation of each one of following plane: `x+y-z=5`

Explanation

`x+y-z=5 `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(\hat{\i}+\hat{\j}-\hat{k})=5`



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

Hence the above equation becomes,


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