Question
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Find the equation of the plane that passes through the point and has the normal vector .

Ask by Ball Todd. in Malaysia
Dec 26,2024

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Answer

The equation of the plane is .

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Extra Insights

To find the equation of the plane that passes through the point with a normal vector , we can use the point-normal form of the equation of a plane, which is given by:
Here, is the point the plane passes through, and are the components of the normal vector. Plugging in our values, we get:
Expanding this equation:
Combining like terms:
Rearranging gives us the final equation of the plane:

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