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L-1 Introduction to Scalars and Vectors - I Video Lecture | Additional Study Material for JEE

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FAQs on L-1 Introduction to Scalars and Vectors - I Video Lecture - Additional Study Material for JEE

1. What is the difference between scalars and vectors in physics?
Ans. Scalars are physical quantities that have only magnitude, such as time, temperature, and mass. Vectors, on the other hand, have both magnitude and direction, such as displacement, velocity, and force.
2. How are scalars and vectors represented in mathematical equations?
Ans. Scalars are typically represented by a single letter, such as 't' for time or 'm' for mass. Vectors are represented by a bold or underlined letter, such as 'd' for displacement or 'v' for velocity. Sometimes, vectors are represented by an arrow above the letter, like '𝑎⃗' for acceleration.
3. Can scalar quantities be added or subtracted?
Ans. Yes, scalar quantities can be added or subtracted using simple arithmetic operations. For example, if you have two scalar quantities, such as temperatures, you can add them together to get the total temperature or subtract one from the other to find the temperature difference.
4. How are vectors represented graphically?
Ans. Vectors are represented graphically using arrows. The length of the arrow represents the magnitude of the vector, and the direction of the arrow represents the direction of the vector. The starting point of the arrow is usually taken as the origin.
5. Can vectors be multiplied or divided?
Ans. Vectors can be multiplied or divided by certain scalars, but not by other vectors. Scalar multiplication of a vector simply scales the magnitude of the vector, without changing its direction. However, vector division is not defined in the same way as scalar division.
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