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Synopsis
In a world where magical prowess defines everything, Reyon Phoenix is the youngest heir to the Phoenix House, the strongest magical family in the world. Despite being born into a prestigious family, Reyon has always struggled with his limited magical reserves. Unlike his genius ancestors, most notably his grandfather, Leywin Phoenix, a legend who used his superior control of magic to create the groundbreaking concept of Vector Magic, Reyon has never been able to unlock his true potential.
At 25, after years of pushing his limits, Reyon has only managed to reach the 5th Circle of magic, the same level as his late grandfather. However, he knows he’s no closer to achieving the feats Leywin once accomplished, as Leywin’s techniques could manipulate mana in ways no one else could, transcending even the mythical 9th Circle.
When a terrifying dragon emerges from the depths of history and threatens to destroy the world, Reyon is powerless against it—his strength is not enough to match the beast's devastating might. On the brink of death, Reyon’s world suddenly changes. A mysterious light transports him back in time, to when he was just 17 years old—before the world was destroyed and before the tragic events that led to the demise of his family.
Now, armed with the knowledge of his future and the fragments of his grandfather’s lost notes, Reyon has a second chance to master Vector Magic and rewrite his fate. But with a past full of enemies and allies whose destinies intertwine with his own, Reyon must navigate the complex world of academia, family expectations, and dangerous rivalries.
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Vector Addition and Subtraction Suppose a particle undergoes a displacement followed by a second displacement . The final result is the same as if the particle had started at the same initial point and undergone a single displacement (Fig. 1.11a). We call displacement the vector sum, or resultant, of displacements and We express this relationship symbolically as (1.2) The boldface plus sign emphasizes that adding two vector quantities requires a geometrical process and is not the same operation as adding two scalar quantities such as In vector addition we usually place the tail of the second vector at the head, or tip, of the first vector (Fig. 1.11a). If we make the displacements and in reverse order, with first and second, the result is the same (Fig. 1.11b). Thus (1.3) This shows that the order of terms in a vector sum doesn’t matter. In other words, vector addition obeys the commutative law. Figure 1.11c shows another way to represent the vector sum: If vectors and are both drawn with their tails at the same point, vector is the diagonal of a parallelogram constructed with and as two adjacent sides. CAUTION Magnitudes in vector addition It’s a common error to conclude that if