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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.
How do you change the magnitude of the resultant vector between two if the angle between them decreases?
If the angle decreases, the magnitude of the resultant vector increases.
What will be the change if a vector is multiplied by -2?
It will be twice as large as the original and have the opposite direction.
Does The direction a vector is drawn in indicate the magnitude of the vector?
No. The two characteristics of a vector ... its magnitude and its direction ... are independent of each other. Either one can change without affecting the other, and neither one tells you any information about the other. On a drawing, the direction of the vector indicates nothing concerning the magnitude. The length of the vector is usually used to indicate its magnitude, on a drawing.
Can a vector be represented in terms of unit vector?
Yes, a vector can be represented in terms of a unit vector which is in the same direction as the vector. it will be the unit vector in the direction of the vector times the magnitude of the vector.
What is the course in which an aircraft moves?
Typically "track" is used to discuss the path of an aircraft. But the term "Vector" can also be used in terms of the path of an aircraft between waypoints. "Vector" can be either heading and speed or simply heading.
Do the vector components double if the vector doubles with the same direction?
Yes, if a vector doubles in magnitude with the same direction, then its components will also double in value. This is because the components of a vector are directly proportional to its magnitude in the same direction.
Is 55 miles per hour a vector quantity or scalar quantity?
(55 miles per hour) is a scalar. (55 miles per hour heading north) is a vector.
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 north a vector direction?
Yes, north is a vector direction because it has both magnitude (distance) and direction. It is typically represented by an arrow pointing upwards on a map.
Is there any change in the vector if there is change in angle?
Yes, changing the angle of a vector will result in a change in its direction. The magnitude of the vector remains the same, but the direction it points in will be different.
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?
Acceleration is a vector quantity because it has magnitude (amount of change in velocity) and direction.
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.
Where can change in vector quantity?
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.
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.
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°.
