If is the vector sum of a and b is c=a+b,what must
be true about the directions and magnitudes of and if c=a+b
If the vector sum of a and b is c = a + b, then the magnitudes of a and b must be such that when added together, they result in the magnitude of c. In other words, |a| + |b| = |c|.
As for the directions of a and b, they must be such that when added together, they result in the direction of c. The direction of c is given by the angle between a and b. If a and b are parallel (their directions are the same or opposite), then the magnitude of c will depend on the relative magnitudes of a and b. If a and b are perpendicular, their sum c will form a right triangle.