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The vector equation of the plane through the point  and perpendicular to the line of intersection of the plane  and , is

a)

b)

c)

d)

None of these



Question ID - 55148 | SaraNextGen Top Answer

The vector equation of the plane through the point  and perpendicular to the line of intersection of the plane  and , is

a)

b)

c)

d)

None of these

1 Answer
127 votes
Answer Key / Explanation : (b) -

(b)

The line of intersection of the plane

 and

is common to both the planes. Therefore, it is perpendicular to normal to the two planes i.e.,

 and

Hence, it is parallel to the vector  Thus, we have to find the equation of the plane passing through  and normal to the vector

The equation of the required plane is

127 votes


127