Q. 19

# Write the equation of the plane passing through the point (a, b, c) and parallel to the plane Given :

A ≡ (a, b, c)

Equation of plane parallel to required plane To Find : Equation of plane

Formulae :

1) Position vectors :

If A is a point having co-ordinates (a1, a2, a3), then its position vector is given by, 2) Dot Product :

If are two vectors  then, 3) Equation of plane :

If a plane is passing through point A, then equation of plane is Where,   For point A ≡ (a, b, c), position vector is As plane is parallel to the required plane, the vector normal to required plane is Now, = a + b + c

Equation of the plane passing through point A and perpendicular to vector is  Rate this question :

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Find the coordinate of the point P where the line through and crosses the plane passing through three points and Also, find the ratio in which P divides the line segment AB.

Mathematics - Board Papers