The magnitude of the resultant vector when two vectors of the same magnitude point in opposite directions is zero units.
When two vectors a and b have the same magnitude and point in opposite directions, their resultant vector is zero because they cancel each other out. This principle is a fundamental concept in vector mathematics and applies regardless of the vectors' specific directions.
Since vectors a and b are of equal magnitude and point to the northeast and southwest, respectively, they are in directly opposite directions. The magnitude of the resultant vector would be 0 units, following the principle that equal magnitude vectors in opposite directions cancel out. This concept is used because vectors represent quantities that have both magnitude and direction, and when summed, the directions influence the outcome of the resultant.