No, the magnitude of the vector will double, but its direction will remain the same.
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.
If the angle decreases, the magnitude of the resultant vector increases.
It will be twice as large as the original and have the opposite direction.
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.
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.
"North" is a valid direction, but for a vector, you would also need a magnitude.
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.
Yes.
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.
(55 miles per hour) is a scalar. (55 miles per hour heading north) is a vector.
yes vector change with change in magnitude or direction
The square of a vector quantity is the vector magnitude times itself without a change in the orientation.
The square of a vector quantity is the vector magnitude times itself without a change in the orientation.
Yes. The angle is the direction of the vector, so if the angle changes, the direction changes.
No. The components of a vector will change based on what coordinate system is used to express that vector.
The same as the original vector. The scalar will change the numbers, but not the dimensions.
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°.