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Find the vector and Cartesian equations of a plane which is at a distance of 7 units from the origin and whose normal vector from the origin is (3\widehat i + 5\widehat j - 6\widehat k)
CBSE | Class 12 | Exercise 28B | Maths | RS Aggarwal | The Planes
Find the vector and Cartesian equations of a plane which is at a distance of 7 units from the origin and whose normal vector from the origin is (3\widehat i + 5\widehat j - 6\widehat k)

Answer:

Given,

\begin{array}{l} d = 7\\ \overline n = 3\widehat i + 5\widehat j - 6\widehat k \end{array}

The unit vector normal to the plane:

 

 

 

 

 

 

 

 

 

 

 

 

 

i

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