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10 to 14 - Solution to Vectors, Physics Video Lecture | Additional Study Material for JEE

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FAQs on 10 to 14 - Solution to Vectors, Physics Video Lecture - Additional Study Material for JEE

1. What are vectors in physics?
Ans. Vectors in physics are quantities that have both magnitude and direction. They are used to represent physical quantities such as displacement, velocity, and force. Vectors are usually represented graphically by arrows, where the length represents the magnitude and the direction of the arrow represents the direction of the vector.
2. How are vectors represented mathematically?
Ans. Vectors can be represented mathematically using coordinate systems. In a two-dimensional Cartesian coordinate system, a vector is represented by two components, one in the x-direction and one in the y-direction. These components can be combined to form a vector using vector addition. In a three-dimensional coordinate system, vectors have three components, one in each of the x, y, and z directions.
3. What is the difference between scalars and vectors?
Ans. Scalars are quantities that have only magnitude, such as mass, temperature, and time. Vectors, on the other hand, have both magnitude and direction. While scalars can be added or subtracted using regular arithmetic operations, vectors require vector addition or subtraction to combine or compare their magnitudes and directions.
4. How do you add vectors together?
Ans. To add vectors together, you can use the graphical method or the component method. In the graphical method, you draw the vectors as arrows on a coordinate system and then place the tail of one vector at the head of the other vector. The sum of the vectors is then the vector from the tail of the first vector to the head of the second vector. In the component method, you break down the vectors into their x and y components and add the corresponding components together to get the resultant vector.
5. Can vectors be negative?
Ans. Yes, vectors can have negative magnitudes. The negative sign indicates the direction of the vector component. For example, if a vector has a magnitude of 5 units in the positive x-direction, a vector with a magnitude of -5 units in the negative x-direction would have the same magnitude but the opposite direction.
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