No.
No.
The resultant vector IS the sum of the individual vectors. Its magnitudecan be the sum of their individual magnitudes or less, but not greater.
The angle between two vectors significantly influences the magnitude and direction of the resultant vector. When two vectors are aligned in the same direction, their magnitudes simply add up, resulting in a larger resultant vector. Conversely, if they are at an angle to each other, the resultant vector's magnitude can be calculated using the cosine rule, and its direction is determined by the vector addition process. The greater the angle between the vectors, the more the resultant vector's magnitude can be diminished.
Large earthquakes (magnitudes greater than 8) are measured using the MMS (moment magnitude) scale. Small and moderate strength earthquakes (those with magnitudes less than 7) are measured using the Richter magnitude scale and earthquakes with magnitudes between 7 and 8 are measured using the Surface Wave magnitude scale.
The magnitude of the sum of any two vectors can be anywhere between zero and the sum of their two magnitudes, depending on their magnitudes and the angle between them. When you say "components", you're simply describing a sum of two vectors that happen to be perpendicular to each other. In that case, the magnitude of their sum is Square root of [ (magnitude of one component)2 + (magnitude of the other component)2 ] It looks to me like that can't be less than the the magnitude of the greater component.
A hundred times greater. The "magnitudes" used here use a logarithmic scale; every increase by one magnitude means an increase of the amount of energy in the earthquake by a factor of 10 in this case.
Unless the vector is one dimensional, or only valued along one base in a multidimensional space, in which case the magnitude is equal to it's components, a vector's magnitude has to be greater than its components.
Yes, the magnitude of the difference between two vectors can be greater than the magnitude of either vector. This can occur when the vectors are in opposite directions or have different magnitudes such that the resulting difference vector is longer than either of the original vectors.
The acceleration with the larger magnitude is the one with a greater numerical value, regardless of its direction. Acceleration is a vector quantity, meaning it has both magnitude and direction, but when comparing magnitudes, only the numerical values are considered.
In the context of stars, a magnitude is not a measure of size but of brightness or apparent brightness. The apparent magnitude of the sun is -27 while Sirius, the brightest star has a magnitude of only -1.4: negative magnitudes are more bright, and stars with magnitudes greater than 6.5 are not visible to the naked eye. However, the sun is a star of modest modest size compared with some of the giants and supergiants.
yeah, it can. for example consider two antiparallel vectors of magnitude 5,3 whose resultant is 2, which is smaller than both components.....
The angle between vectors A and B must be 90 degrees for the magnitude of A + B to be greater than the magnitude of A - B. At this angle, the maximum difference between the magnitudes of A + B and A - B occurs, maximizing the difference.