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Question No. 3 Solutions to Vectors, H.C. Verma Video Lecture | Additional Study Material for JEE

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FAQs on Question No. 3 Solutions to Vectors, H.C. Verma 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 represented by arrows, with the length of the arrow indicating the magnitude and the direction of the arrow representing the direction. Vectors are used to describe various physical quantities such as displacement, velocity, force, and acceleration.
2. How do you add vectors?
Ans. To add vectors, you can use the head-to-tail method. Place the tail of the second vector at the head of the first vector, and draw the resultant vector from the tail of the first vector to the head of the second vector. The resultant vector represents the sum of the two vectors.
3. How can vectors be resolved into components?
Ans. Vectors can be resolved into components by using trigonometry. For example, a vector can be resolved into horizontal and vertical components by using the sine and cosine functions. The magnitude of the horizontal component is given by the magnitude of the vector multiplied by the cosine of the angle it makes with the horizontal axis, and the magnitude of the vertical component is given by the magnitude of the vector multiplied by the sine of the angle.
4. What is the dot product of two vectors?
Ans. The dot product of two vectors is a scalar quantity that is calculated by multiplying the magnitudes of the two vectors and the cosine of the angle between them. It is denoted by the symbol "⋅". The dot product is used to determine the angle between two vectors and to calculate work done by a force.
5. Can vectors be negative?
Ans. Yes, vectors can be negative. The negative sign indicates the direction of the vector. For example, if a vector is directed to the left, it can be represented as a negative vector. The magnitude of a negative vector is always positive.
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