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saravanan13
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For an arbitrary vector, what is meant by tangential and normal component of the vector?
saravanan13 said:For an arbitrary vector, what is meant by tangential and normal component of the vector?
A vector is a mathematical quantity that has both magnitude (size) and direction. Vectors are commonly used in physics, engineering, and other scientific fields to describe various physical quantities such as velocity, force, and displacement.
A component of a vector is the projection of the vector onto a specific axis or direction. It is a scalar quantity, meaning it has only magnitude and no direction. The sum of all the components of a vector make up the vector itself.
To find the components of a vector, you can use trigonometric functions such as sine and cosine. The horizontal component (x) is found by multiplying the magnitude of the vector by the cosine of the angle it makes with the x-axis. The vertical component (y) is found by multiplying the magnitude of the vector by the sine of the angle it makes with the y-axis.
The components of a vector are the parts that make up the vector and can be added or subtracted to obtain the original vector. The magnitude of the vector can be found using the Pythagorean theorem, where the sum of the squares of the components equals the square of the vector's magnitude.
A scalar is a quantity that has only magnitude, while a vector has both magnitude and direction. Examples of scalars include temperature, speed, and time. Examples of vectors include displacement, velocity, and force.