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Vector Algebra & Cartesian Coordinate System- 1 Video Lecture | Crash Course for IIT JAM Physics
FAQs on Vector Algebra & Cartesian Coordinate System- 1 Video Lecture - Crash Course for IIT JAM Physics
| 1. What is the difference between a vector and a scalar? |  |
Ans. A vector is a quantity that has both magnitude and direction, such as displacement or velocity. On the other hand, a scalar is a quantity that has only magnitude, such as distance or speed.
| 2. How do you represent a vector in Cartesian coordinate system? | |
Ans. In a Cartesian coordinate system, a vector is represented by its components along the x, y, and z axes. These components can be represented as a triplet (x, y, z) or as a column matrix [x, y, z].
| 3. What are the basic operations in vector algebra? | |
Ans. The basic operations in vector algebra include addition, subtraction, scalar multiplication, dot product, and cross product. Addition and subtraction are performed component-wise, scalar multiplication scales the magnitude of the vector, dot product gives a scalar quantity, and cross product gives a vector perpendicular to the two input vectors.
| 4. How can vectors be combined using vector algebra? | |
Ans. Vectors can be combined using vector algebra through various operations. Addition of vectors results in the formation of a new vector with the sum of their components. Subtraction of vectors results in the formation of a new vector with the difference of their components. Scalar multiplication scales the magnitude of the vector. Dot product and cross product combine vectors to give scalar and vector quantities, respectively.
| 5. What is the significance of the magnitude and direction of a vector? | |
Ans. The magnitude of a vector represents its size or length, providing information about the quantity or value it represents. The direction of a vector indicates the orientation or angle at which it is pointing. Both magnitude and direction are crucial in fully describing a vector and understanding its physical meaning or application.
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Nov 24, 2024 Last updated |
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