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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.
