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Show that the normal to the following pl...

Show that the normal to the following planes are perpendicular to each other. `x-y+z-2=0\ a n d\ 3x+2y-z+4=0`

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The vector equation of the plane` x-y+z-2=0 `can be written as
`(x \hat{\i}+y \hat{\j}+z \hat{k})(\hat{\i}-\hat{\j}+\hat{k})=2 `
`\Rightarrow \vec{r} \cdot(\hat{\i}-\hat{\j}+\hat{k})=2`
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