Table of Contents
- 1 Can the magnitude of the difference between two vector ever be greater than the magnitude of either vector can it be greater than the magnitude of their sum give example?
- 2 Can the magnitude of the difference between two vectors ever be greater?
- 3 Can the magnitude of a vector can never be less than the magnitude of one of its components?
- 4 Is it possible for the magnitude of the sum of the vectors to be smaller than the magnitude of the difference of the same vectors Support your answer with a diagram?
Can the magnitude of the difference between two vector ever be greater than the magnitude of either vector can it be greater than the magnitude of their sum give example?
As @almagest said, this means that the difference between the angles of the two vectors is 120 degrees. If the vectors are equal, then their sum will necessarily have a larger magnitude than either of them unless the vector is zero.
Can the magnitude of the resultant of two vectors be less than the magnitude of either of those two vectors?
The magnitude of the resultant of two vectors cannot be less than the magnitude of either of those two vectors. If a vector’s components are all negative, then the magnitude of the vector is negative.
Can the magnitude of the difference between two vectors ever be greater?
Show that the magnitude of the resultant of two vectors A and B cannot be greater than the sum of the magnitudes of A and B, and lesser than the difference of the magnitudes of A and B. If it is equal to the difference of magnitudes,than it is lesser than their sum,because magnitudes are positive numbers.
Can the magnitude of the difference between two vectors ever be greater than?
Yes, any 2 vectors that has an angle between 90° and 270° will have the magnitude of their difference be greater than their respective magnitude. In contrary, the magnitude of the resultant of the two vectors will be smaller than magnitude of both vectors, and hence also smaller than the magnitude of the difference.
Can the magnitude of a vector can never be less than the magnitude of one of its components?
The magnitude of a vector can never be less than the magnitude of any of its components. The magnitude of a vector an only zero if all of its components are zero. The eastward component of vector A is equal to the westward component of vector B and their northward components are equal.
Can the magnitude of the difference between two vectors ever be greater than the magnitude of one of the vectors?
Is it possible for the magnitude of the sum of the vectors to be smaller than the magnitude of the difference of the same vectors Support your answer with a diagram?
Its given magnitude of sum of vectors is equal to the difference of their magnitudes. Which means for @= 180°. This case is possible.
Can the magnitude of a vector ever be less than?
The components of a vector can never have a magnitude greater than the vector itself. There is a situation where a component of a vector could have a magnitude that equals the magnitude of the vector.