The magnitude of the resultant of the following vectors is the length of the vector that represents the combined effect of the individual vectors. It is a measure of the overall strength or intensity of the resulting vector.
The magnitude of the resultant can be calculated using the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. In vector terms, it can be expressed as: |R| = √(Rx² + Ry²).
The magnitude of the resultant tells us about the total effect of the vectors. It gives us information about the overall magnitude or strength of the resulting vector, as well as its direction.
No, the magnitude of the resultant is always a positive value. It represents the length of the resulting vector, which cannot be negative.
The angle between the vectors can affect the magnitude of the resultant. If the vectors are parallel, the magnitude of the resultant will be equal to the sum of the magnitudes of the individual vectors. However, if the vectors are not parallel, the magnitude of the resultant will be less than the sum of the individual magnitudes. The closer the vectors are to being perpendicular, the smaller the magnitude of the resultant will be.