
Why do we use vectors?
Answer
163.5k+ views
Hint: Vector analysis is a method that uses mathematical equations to represent a vector and analyse its components. A vector shows the direction and magnitude of the parameters of a physical or geophysical object.
Complete step by step solution:
Vector quantity is the rate at which an object moves along a given direction. It is measured in units of distance per period. The velocity of an object can be calculated by dividing the space travelled with the elapsed time. Vector quantity is the distance covered by an object moving in a particular direction. When velocity is the rate of change in position with time, a vector quantity is called instantaneous velocity.
A vector is a quantity that may be used to indicate both the magnitude and direction of a parameter. Straight-line vectors, such as velocity and acceleration, describe how rate changes over time. The magnitude of a straight line vector is determined by its length, which is the distance covered divided by the time taken to protect it. The speed or rate at which the vector describes position change is called its rate of change or slope.
The direction of a straight line vector is also specified in terms of an angle θ with respect corresponding to a fixed reference line known as the axis or X-axis (the coordinate axis). The angle can be in degrees, radians, or any other unit that can correspond to angular position on the axes.
Note: A vector is a quantity that may be used to indicate both the magnitude and direction of a parameter. It's commonly depicted as an arrow, with the length of the hand indicating the magnitude and the arrow head indicating the vector's direction. The velocity of an item moving in a direction that covers a distance is an example of a vector quantity.
Complete step by step solution:
Vector quantity is the rate at which an object moves along a given direction. It is measured in units of distance per period. The velocity of an object can be calculated by dividing the space travelled with the elapsed time. Vector quantity is the distance covered by an object moving in a particular direction. When velocity is the rate of change in position with time, a vector quantity is called instantaneous velocity.
A vector is a quantity that may be used to indicate both the magnitude and direction of a parameter. Straight-line vectors, such as velocity and acceleration, describe how rate changes over time. The magnitude of a straight line vector is determined by its length, which is the distance covered divided by the time taken to protect it. The speed or rate at which the vector describes position change is called its rate of change or slope.
The direction of a straight line vector is also specified in terms of an angle θ with respect corresponding to a fixed reference line known as the axis or X-axis (the coordinate axis). The angle can be in degrees, radians, or any other unit that can correspond to angular position on the axes.
Note: A vector is a quantity that may be used to indicate both the magnitude and direction of a parameter. It's commonly depicted as an arrow, with the length of the hand indicating the magnitude and the arrow head indicating the vector's direction. The velocity of an item moving in a direction that covers a distance is an example of a vector quantity.
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