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Physical meaning of vector

Updated: 12/8/2022
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A quantity involving direction and magnitude is called physically vector A quantity involving direction and magnitude is called physically vector

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Q: Physical meaning of vector
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What is the physical significance of null vectors?

Zero vector or null vector is a vector which has zero magnitude and an arbitrary direction. It is represented by . If a vector is multiplied by zero, the result is a zero vector. It is important to note that we cannot take the above result to be a number, the result has to be a vector and here lies the importance of the zero or null vector. The physical meaning of can be understood from the following examples. The position vector of the origin of the coordinate axes is a zero vector. The displacement of a stationary particle from time t to time tl is zero. The displacement of a ball thrown up and received back by the thrower is a zero vector. The velocity vector of a stationary body is a zero vector. The acceleration vector of a body in uniform motion is a zero vector. When a zero vector is added to another vector , the result is the vector only. Similarly, when a zero vector is subtracted from a vector , the result is the vector . When a zero vector is multiplied by a non-zero scalar, the result is a zero vector.


What is an explanation of Free and bound vectors?

Free vectors have no fixed point of application and can be moved around without changing the physical meaning. Bound vectors are tied to a specific point and cannot be freely moved without altering the physical interpretation of the vector.


What is the physical meaning of determinant of a matrix?

for a 3x3 matrix, it can be interpreted as the volume of the hexahedron formed by three vectors (each row of the matrix as one vector).


A physical quantity that has both magnitude and directions is?

Such a physical quantity is a vector.


When a vector is multiplied by a scalar physical quantitythen what will be dimensions of resulting vector?

The same as the original vector. The scalar will change the numbers, but not the dimensions.


Which physical quantity is obtained when acceleration is differentiated with respect to time is it a scalar or vector or tensor?

For differentiation, you have to divide a vector by a scalar. Therefore, you should get a vector.


A force is what kind of quantity?

a vector


What is the meaning of vector in Telugu?

'sadisha raasi'


What is the meaning of directed line segment?

a vector


What is physical interpretation of vector space?

A vector has two properties: magnitude and direction. The representation of a vector is an arrow. The tip of the arrow points to the direction the vector is acting. The length of the arrow represents the magnitude.


How would you define the zero vector 0?

The zero vector, denoted as 0, is a vector with all components equal to zero. It serves as the additive identity element in vector spaces, meaning that adding it to any vector does not change the vector's value.


What is a physical quantity that is specified by both size and distance?

a vector