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Find the vector and cartesian equations ...

Find the vector and cartesian equations of the planes
(a) that passes through the point `(1, 0, 2)`and the normal to the plane is ` hat i+ hat j- hat k`
(b) that passes through the point (1,4, 6) and the normal vector to the plane is

Text Solution

Verified by Experts

(a) the equation is given as
`(vecr-veca).vecn=0`
where `vecta` is point and `vecn` is the plane
thus,
`[vecr-(hati-2hatk)].(hati+hatj-hatk)=0`
put `vecr=xhati+yhatj+zhatk`
we get
`x+y-z=3`
...
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