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What is a Vector? Video Lecture | Physics for JAMB

FAQs on What is a Vector? Video Lecture - Physics for JAMB

1. What is a vector in mathematics?

Ans. In mathematics, a vector is a mathematical object that has both magnitude and direction. It is often represented as an arrow in a coordinate system, where the length of the arrow represents the magnitude and the direction of the arrow represents the direction.

2. What are the different types of vectors?

Ans. There are several types of vectors in mathematics, including geometric vectors, algebraic vectors, and physical vectors. Geometric vectors are used to represent displacement, velocity, and force in physics. Algebraic vectors are used in linear algebra to represent elements of vector spaces. Physical vectors are used to represent quantities such as velocity, acceleration, and momentum.

3. How are vectors represented in mathematics?

Ans. Vectors can be represented in mathematics using various notations. One common notation is to write a vector as an ordered pair or triple of numbers, where each number represents a component of the vector in a specific coordinate system. Another notation is to use a boldface letter or an arrow above the letter to represent a vector. Additionally, vectors can also be represented using column matrices.

4. What is the difference between a scalar and a vector?

Ans. In mathematics, a scalar is a quantity that only has magnitude, while a vector has both magnitude and direction. Scalars can be represented by a single number, such as temperature or distance. On the other hand, vectors require multiple numbers or components to fully describe their properties.

5. How are vectors used in physics?

Ans. Vectors are extensively used in physics to describe various physical quantities. For example, displacement, velocity, and acceleration are all vector quantities. Vectors are also used to represent forces, momentum, and electric fields. By using vectors, physicists can accurately describe and analyze the motion and interactions of objects in the physical world.

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Oct 11, 2025 Last updated

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Physics for JAMB

260 videos|253 docs|230 tests

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