Relevant Sections in the Chapter
31.1 Coordinates of a point in space
31.2 Signs of Coordinates of a Point in Various Quadrants
31.3 Distance formula
31.4 Section formulas
31.5 Direction cosines and direction ratios
31.6 Angle between two vectors in terms of their directions cosines and direction ratios
31.7 Straight line in space
31.8 Angle between two lines
31.9 Intersection of two lines
31.10 Perpendiculars distance of a point from a line
31.11 Reflection or image of a point in a straight line
31.12 Shortest distance between two straight lines
31.13 Plane - Definition and Equation
31.14 Equation of plane passing through a given point
31.15 Intercept form of plane
31.16 Vector equation of a plane passing through a given point and normal to a given vector
31.17
a. Equation of a plane in normal form - Vector Form
b. Equation of a plane in normal form
31.19 Equation of a Plane Passing through a Given Point and Parallel to two Given Vectors
31.20 Equation of a Plane Parallel to a Given Plane
31.21 Equation of a Plane Passing through the Intersection of Two planes
31.22 Distance of a point from plane
31.24 Line and a plane
31.25 Angle between a line and plane
31.26 Intersection of a line and a plane
31.27 Condition of coplanarity of two line and equation of the plane containing them
31.28 Image of a point in a plane
Study Plan
Day 1
31.1 Coordinates of a point in space
31.2 Signs of Coordinates of a Point in Various Quadrants
31.3 Distance formula
31.4 Section formulas
Day 2
31.5 Direction cosines and direction ratios
Day 3
31.6 Angle between two vectors in terms of their directions cosines and direction ratios
31.7 Straight line in space
Day 4
31.8 Angle between two lines
31.9 Intersection of two lines
31.10 Perpendiculars distance of a point from a line
Day 5
31.11 Reflection or image of a point in a straight line
31.12 Shortest distance between two straight lines
Day 6
31.13 Plane - Definition and Equation
31.14 Equation of plane passing through a given point
31.15 Intercept form of plane
Day 7
31.16 Vector equation of a plane passing through a given point and normal to a given vector
31.17 Equation of a plane in normal form
31.18 Angle between two planes
Day 8
31.19 Equation of a Plane Passing through a Given Point and Parallel to two Given Vectors
31.20 Equation of a Plane Parallel to a Given Plane
31.21 Equation of a Plane Passing through the Intersection of Two planes
31.22 Distance of a point from plane
Day 9
31.23 Equations of planes bisecting the angles between two given planes
31.24 Line and a plane
31.25 Angle between a line and plane
Day 10
31.26 Intersection of a line and a plane
31.27 Condition of coplanarity of two line and equation of the plane containing them
31.28 Image of a point in a plane
Day 11
Illustrative Objective Type Examples 1 to 18 (Ignore what are not in the sections covered by you)
Day 12
Objective Type Exercise 1 to 20
Day 13
O.T.E.: 21 to 40
Day 14
O.T.E.: 41 to 60
Day 15
O.T.E.: 61 to 80
Revision Period
Day 16
Concept revision
Day 17
concept revision
Day 18 to 30
Test paper problems
Try to recollect and see how many you remember. I shall create the material related to them and link them over a period of time.
31.1 Coordinates of a point in space
31.2 Signs of Coordinates of a Point in Various Quadrants
31.3 Distance formula
31.4 Section formulas
Internal division
External division
31.5 Direction cosines and direction ratios
Direction cosines
Some theorems/results on direction cosines
Direction ratios
Some theorems/results on direction cosines and direction ratios
Direction cosines and direction ratios of a vector given inters of unit vectors
Direction ratios of the line joining two given points
Direction cosines of parallel vectors
Projections of vector on the coordinate axes
Direction cosines and direction ratios of a line
31.6 Angle between two vectors in terms of their directions cosines and direction ratios
31.7 Straight line in space
31.8 Angle between two lines
31.9 Intersection of two lines
31.10 Perpendiculars distance of a point from a line
31.11 Reflection or image of a point in a straight line
31.12 Shortest distance between two straight lines
Shortest distance between two skew lines - Vector Form
Shortest distance between two skew lines – Cartesian Form
Shortest distance between two parallel lines
31.13 Plane - Definition and Equation
31.14 Equation of plane passing through a given point
31.15 Intercept form of plane
31.16 Vector equation of a plane passing through a given point and normal to a given vector
Vector Form
Cartesian Form
31.17
a. Equation of a plane in normal form - Vector Form
b. Equation of a plane in normal form
31.19 Equation of a Plane Passing through a Given Point and Parallel to two Given Vectors
31.20 Equation of a Plane Parallel to a Given Plane
31.21 Equation of a Plane Passing through the Intersection of Two planes
31.22 Distance of a point from plane
31.24 Line and a plane
31.25 Angle between a line and plane
31.26 Intersection of a line and a plane
31.27 Condition of coplanarity of two line and equation of the plane containing them
31.28 Image of a point in a plane
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