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Whenever either its magnitude or its direction (or both) changes.

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13y ago

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What is gradient of a vector field?

It is the rate of change in the vector for a unit change in the direction under consideration. It may be calculated as the derivative of the vector in the relevant direction.


Is there any change in the vector if there is change in angle?

Yes. The angle is the direction of the vector, so if the angle changes, the direction changes.


What is the quantities of a vector?

The square of a vector quantity is the vector magnitude times itself without a change in the orientation.


Is acceleration a vector or a scalar?

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Is a vector necessarily changed if it is rotated through a angle?

No, a vector's magnitude and direction can remain the same if it is rotated through an angle, as long as the rotation occurs around an axis that is parallel to the vector. The vector is considered unchanged in this scenario.


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A change in a vector quantity can occur in its magnitude, direction, or both. This change can happen when there is acceleration or deceleration, change in velocity direction, or when there are forces acting on the object.


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No, the magnitude of the vector will double, but its direction will remain the same.


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


How will you multiply a vector by positive number?

A positive scalar multiplied by a vector, will only change the vector's magnitude, not the direction. A negative scalar multiplied by the vector will reverse the direction by 180°.


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 the sum of two vectors A.addition vector B.distance vector C.resultant vector D.displacement vector?

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