To understand this problem of 3-D geometry you must know ;The equation of plane and how we get the equation of plane passing through the given point and containing the given line

QUESTION

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# Category: Vectors and 3 D Geometry / IIT JEE MAINS/ADVANCED-FREE STUDY MATERIAL

## Multiple Choice Questions (Solved)-3-D-GEOMETRY-MATHS-IIT-JEE-MAINS /ADVANCED-28

## Multiple Choice Questions (Solved)-3-D-GEOMETRY-MATHS-IIT-JEE-MAINS /ADVANCED-27

## Multiple Choice Questions (Solved)-3-INEQUALITY-MATHS-IIT-JEE-MAINS /ADVANCED-26

## 3-D-Geometry-IIT-JEE-MAINS /ADVANCED-MATHS-Multiple Choice Questions (Solved)-25

## 3-D-Geometry-IIT-JEE-MAINS /ADVANCED-MATHS-Multiple Choice Questions (Solved)-24

It contains vectors and 3d geometry concepts and solved problems ( objective + subjective )

1 vectors : – Definitions of vectors and scalars,Addition of two vectors, Type of vectors, Multiplication of vector by scalar,Linear Combinations,Collinearity and coplanarity of points, Section formula, Converse of Section Formula, Equation of Straight Line,Length of Perpendicular and Foot/Image of Perpendicular of Point by the Line,Angle between Two Lines, Shortest distance between two parallel / non co-planer(Skew lines), Equation of Plane, Angle between Two planes, Angle between line & Plane, Orthogonal system of unit vectors, Scalar product of two vectors, Self dot Product to Eva-lute Distance, Acute/obtuse Angel, Between two Vectors ,Vectors product, Application to evaluate area Triangle and Parallelogram etc. , Scalar triple product ,Vector triple product ,Reciprocal System of Vectors ,Solving of Vector Equation, Volume of parallelopipe , Tetrahedron, Prism with the help of scalar triple product Etc.

2 3D geometry :- Rectangular Coordinate System in Space,Coordinates of a Point in Space,Shifting the Origin,Direction Cosines of a Line,Relation between the Direction Cosines,Direction Ratios,Parallel Lines Direction Cosines of a Line joining,two given Points,Angle between two Lines,Projection of a Line segment on a given line,Perpendicular Distance of a Point from a Line,Area of a Triangle,The Straight Line,Equation of Straight Line in Different Forms,The Plane,Equation of Plane in Different Forms, Angle between the Plane,Position of Two Points w.r.t. a Plane, Perpendicular Distance,Family of Plane ,Bisector Planes of Angle between,two Planes,Intersection of a Line and Plane,Equation of the plane through a given line,Eq. of a straight line intersecting,two given lines

To understand this problem of 3-D geometry you must know ;The equation of plane and how we get the equation of plane passing through the given point and containing the given line

QUESTION

To understand this problem of 3-D geometry you must know ;The equation of plane / sphere and basic concept of quadratic equations

QUESTION

SOLUTION

QUESTION

SOLUTION

To understand this problem of vector geometry you must know ; The concept of DOT product and how we get the angles of triangle when coordinates of vertices are given

QUESTION

SOLUTION

To understand this problem of vector geometry you must know ; The concept of straight lines in 3-D / Concept of plane and how we get the foot of perpendicular drawn from fixed point on plane

QUESTION