Q11 of 230 Page 30

Write the equation of the plane in scalar product form.

The given plane is .


So, it is clear from the given equation of plane, that the plane passing through a point and parallel to two vectors and .


So, the equation of the vector normal to the plane is given as,



So, in scalar product form the vector equation of the plane is given as,




.


Hence, the equation of the plane in scalar product form is given as, or, .


More from this chapter

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9

Write the plane in normal form.

10

Write the distance of the plane from the origin.

 12

Write a vector normal to the plane .

 13

Write the equation of the plane passing through (2, –1,1) and parallel to the plane 3x + 2y – z = 7.