- #1
bhatnv
- 6
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So my physics teacher told us about this recently but i didnt quite understand, perhaps you guys can help me on this. i understand it has to do with vectors but i don't get how it works really.
A vector is a mathematical quantity that has both magnitude (size) and direction. It is represented graphically as an arrow pointing in the direction of the vector with a length that is proportional to its magnitude. In physics, vectors are used to describe quantities such as velocity, acceleration, and force.
Scalars are mathematical quantities that only have magnitude, such as distance or temperature. Vectors, on the other hand, have both magnitude and direction. This means that two vectors with the same magnitude but different directions are considered different, while two scalars with the same value are considered the same.
To add or subtract vectors, you must use the head-to-tail method. This involves placing the tail of one vector at the head of the other and drawing a vector from the tail of the first vector to the head of the second vector. The resulting vector is the sum or difference of the original two vectors.
Displacement is a vector quantity that describes the change in position of an object from its initial position to its final position. Distance, on the other hand, is a scalar quantity that describes the total length of the path traveled by an object. Displacement takes into account the direction of motion, while distance does not.
The magnitude of a vector can be calculated using the Pythagorean theorem, which states that the magnitude is equal to the square root of the sum of the squares of the individual components. The direction of a vector can be calculated using trigonometric functions, such as sine, cosine, and tangent. Alternatively, you can use the inverse tangent function to find the angle between the vector and a specified reference axis.