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Page 1 Numerical 2023 Question:1 JEE Main 2023 (Online) 13th April Morning Shift Question:2 JEE Main 2023 (Online) 11th April Evening Shift Question:3 JEE Main 2023 (Online) 8th April Morning Shift Question:4 JEE Main 2023 (Online) 1st February Morning Shift Question:5 JEE Main 2023 (Online) 1st February Morning Shift Page 2 Numerical 2023 Question:1 JEE Main 2023 (Online) 13th April Morning Shift Question:2 JEE Main 2023 (Online) 11th April Evening Shift Question:3 JEE Main 2023 (Online) 8th April Morning Shift Question:4 JEE Main 2023 (Online) 1st February Morning Shift Question:5 JEE Main 2023 (Online) 1st February Morning Shift Question:7 JEE Main 2023 (Online) 31st January Morning Shift Question:8 JEE Main 2023 (Online) 29th January Morning Shift Question:9 JEE Main 2023 (Online) 24th January Evening Shift JEE Main 2023 (Online) 15th April Morning Shift JEE Main 2023 (Online) 13th April Morning Shift Question:10 Question:11 Question:6 JEE Main 2023 (Online) 31st January Evening 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Question:15 Question:16 Question:17 JEE Main 2023 (Online) 12th April Morning Shift Question:12 JEE Main 2023 (Online) 6th April Evening Shift JEE Main 2023 (Online) 6th April Morning Shift JEE Main 2023 (Online) 1st February Evening Shift JEE Main 2023 (Online) 1st February Evening Shift JEE Main 2023 (Online) 31st January Morning Shift JEE Main 2023 (Online) 31st January Morning Shift Question:18 Question:19 Question:20 Question:21 Question:22 Question:23 Page 5 Numerical 2023 Question:1 JEE Main 2023 (Online) 13th April Morning Shift Question:2 JEE Main 2023 (Online) 11th April Evening Shift Question:3 JEE Main 2023 (Online) 8th April Morning Shift Question:4 JEE Main 2023 (Online) 1st February Morning Shift Question:5 JEE Main 2023 (Online) 1st February Morning Shift Question:7 JEE Main 2023 (Online) 31st January Morning Shift Question:8 JEE Main 2023 (Online) 29th January Morning Shift Question:9 JEE Main 2023 (Online) 24th January Evening Shift JEE Main 2023 (Online) 15th April Morning Shift JEE Main 2023 (Online) 13th April Morning Shift Question:10 Question:11 Question:6 JEE Main 2023 (Online) 31st January Evening Shift JEE Main 2023 (Online) 11th April Evening Shift JEE Main 2023 (Online) 11th April Morning Shift JEE Main 2023 (Online) 10th April Evening Shift JEE Main 2023 (Online) 8th April Evening Shift JEE Main 2023 (Online) 8th April Morning Shift Question:13 Question:14 Question:15 Question:16 Question:17 JEE Main 2023 (Online) 12th April Morning Shift Question:12 JEE Main 2023 (Online) 6th April Evening Shift JEE Main 2023 (Online) 6th April Morning Shift JEE Main 2023 (Online) 1st February Evening Shift JEE Main 2023 (Online) 1st February Evening Shift JEE Main 2023 (Online) 31st January Morning Shift JEE Main 2023 (Online) 31st January Morning Shift Question:18 Question:19 Question:20 Question:21 Question:22 Question:23 JEE Main 2023 (Online) 30th January Evening Shift JEE Main 2023 (Online) 30th January Morning Shift JEE Main 2023 (Online) 30th January Morning Shift JEE Main 2023 (Online) 29th January Morning Shift JEE Main 2023 (Online) 29th January Morning Shift JEE Main 2023 (Online) 25th January Evening Shift Question:24 Question:25 Question:26 Question:27 Question:28 Question:29Read More
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FAQs on Vector Algebra & Three Dimensional Geometry: JEE Mains Previous Year Questions (2021-2024) - Mathematics (Maths) for JEE Main & Advanced
| 1. What are the basic concepts of Vector Algebra? |  |
Ans. Vector Algebra deals with vector quantities, which have both magnitude and direction. Basic concepts include addition, subtraction, scalar multiplication, dot product, cross product, and the magnitude of vectors.
| 2. How is Vector Algebra used in Three Dimensional Geometry? | |
Ans. Vector Algebra is used in Three Dimensional Geometry to represent lines, planes, and other geometric shapes using vectors. It helps in finding equations of lines and planes, determining angles between lines and planes, and solving geometric problems in three-dimensional space.
| 3. What is the difference between a scalar and a vector quantity? | |
Ans. A scalar quantity has only magnitude, while a vector quantity has both magnitude and direction. Examples of scalar quantities include mass and temperature, while examples of vector quantities include displacement and velocity.
| 4. How is the magnitude of a vector calculated? | |
Ans. The magnitude of a vector is calculated using the Pythagorean theorem in two dimensions and the Pythagorean theorem extended to three dimensions. In two dimensions, if a vector is represented as (a, b), its magnitude is sqrt(a^2 + b^2), and in three dimensions, if a vector is represented as (a, b, c), its magnitude is sqrt(a^2 + b^2 + c^2).
| 5. What is the significance of the dot product and cross product of vectors in Vector Algebra? | |
Ans. The dot product of two vectors gives a scalar quantity representing the projection of one vector onto the other. It is used to find angles between vectors and determine orthogonality. The cross product of two vectors gives a vector perpendicular to both input vectors and is used to find the area of parallelograms and determine the direction of a resulting vector.
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