Vectors And 3D Geometry FOR IIT JEE 2021, 2022, 2023

Both the chapters have equal weightage to the unit. 3 to 4 questions are asked every year from this unit and it is important to not let the chapter go unprepared. There are a lot of cases in these chapters and making a good note will provide to be useful. Vectors might take some time to build intuition in but once that is done working with 3D geometry is going to be easier as well.

SYLLABUS

PART 1: THREE DIMENSIONAL GEOMETRY

-          Coordinates of a point in space, the distance between two points, section formula, directions ratios and direction cosines, the angle between two intersecting lines.

-          Skew lines, the shortest distance between them and its equation.

-          Equations of a line and a plane in different forms, the intersection of a line and a plane, coplanar lines.

PART 2: VECTOR ALGEBRA

-          Vectors and scalars, the addition of vectors, components of a vector in two dimensions and three-dimensional space, scalar and vector products, scalar, and vector triple product.

CHAPTER WISE ANALYSIS

1.       Vectors

With 18 questions under its hood, knowing various products will be important to score well in vectors.

2.       3D Geometry

3D Geometry is knowing all about the cases and the formulas associated with it. From the pattern itself, either 2 questions are straight out of the chapter or none. So, it become very important to not miss out on 2 questions.