Linear Algebra Projection Formula

All I wanted was a one-night stand with a random guy, just to get back at my boyfriend, who had insulted me for never being able to feel anything with him. So, I left Brooklyn with my best friend, Ashley, to spend spring break in Cabo. The deal was simple: have fun like a normal young adult and hook up with any guy... just to prove a point. I ended up in the bed of a man with the most mesmerizing eyes I’d ever seen—a man I knew absolutely nothing about. He pleased me in ways I didn’t think were possible. Every touch, every kiss, every whispered brush of his hands against my skin ignited a hunger I never knew I had. But when I woke up the next morning, the stranger was gone. I thought it was just a forgotten one-night stand, someone I’d never see again. Until I found out he was my new statistics professor. It was supposed to be one meaningless night, but now I crave him in ways I never knew were possible. Even knowing he could be my downfall, I still want him. Still crave him. Still want him to ruin me in whatever way he desires.

In the Omegaverse, where Lunas sit at the pinnacle of the pyramid. A rare form of Omega, one that could disrupt the government and society with little to no defiance. It all begins with Maya, an Elite Prime Omega, and his fantasy of experiencing a relationship between an Enigma and a Luna. Dante, an Elite Prime Enigma, and Taiga, an Elite Prime Luna. Who breaks who? Irrespective of the results, behind it all, Maya sits, watching it unfold. Aligned Fantasy, a book about a boy named Maya and the dangerous relationship between his Enigma and Luna mates.

At the age of ten, Charles loses everything—his memories, his family, and his identity. Found wandering alone after a mysterious incident, he is adopted by the compassionate Chris Lynch family, who raise him as their own. Gifted with extraordinary intelligence and determination, Charles rises from humble beginnings to become one of the youngest and most successful entrepreneurs in City A. Just as he prepares to enjoy the rewards of years of hard work, his world comes crashing down. Five years later, the global business landscape is dominated by a mysterious figure known only as The Alpha, an enigmatic billionaire whose influence extends across finance, technology, shipping, energy, and international politics. His true identity is unknown even to world leaders, yet his decisions shape markets and governments. Behind this carefully guarded persona is Charles, who transformed his greatest defeat into unimaginable power during the years everyone believed he had been broken. Amid the pursuit of justice, Charles finds himself torn between two women. Evelyn, the woman who first captured his heart and never truly stopped believing in his innocence, represents the life he lost. Amelia, the courageous woman who secretly gave birth to his son while he was imprisoned, represents the family and future he never knew he had. With powerful enemies closing in, hidden identities exposed, and a decades-old conspiracy threatening everyone he loves, Charles faces the greatest challenge of his life. To clear his name, protect his family, and uncover the truth about who he really is, he must risk losing everything once again. The Phantom Alpha is an epic tale of betrayal, resilience, redemption, love, and revenge, proving that while a person's identity can be stolen, their destiny can never truly be erased.

Nearly twenty years ago, a vicious Alpha slaughtered hundreds of werewolves in cold blood in order to steal their pack lands. Winners write the history and Alpha Carlos Rivera made himself the hero of his tale. He claimed that he devised The Expansion, a plan to unite the surrounding packs to defend them all from a rogue war, for the common good. Enola Grey was made an orphan in The Expansion and grew up on the united pack lands, never knowing she has Celtic Alpha blood running through her veins. Kallan O’Cleirigh, a Lycan clan leader, travels to the united pack lands in search of his pretimarei, his precious love. But Kallan will have his work cut out for him; his mate is a strong-willed, independent she-wolf and will have to fall in love with him of her own volition whilst resisting the pull of her werewolf mate. Will Kallan be able to win the love of his pretimarei? Or will Enola succumb to the undeniable pull of the werewolf mate bond? Enola might think her life is plain and boring, but as the twentieth anniversary of The Expansion approaches, her final year of college will prove to be anything but.

A Beta is weak. Ordinary. He didn't have an Alpha's might or strength. Nor did he have the beauty and splendor of an Omega. But a Beta can love too. Jillian is a beta. It was impossible for her to avoid meeting Alvin. The Omega Alvin desired left him for unknown reasons, but Jillian looks strikingly similar to the Omega Alvin adores. So he took a chance and jumped into his arms, expecting to be treated as a toy, a substitute. Jillian fully knew what she was jumping into. Yet it was love. 'I'm hoping for at least a little love.' He was willing to give up his freedom for the love of his life. ... Years have passed. Alvin had never loved her. The millionaire CEO of the city's largest company, the dream alpha of many omegas. He was just a regular beta, so it's no surprise. Nonetheless, he clung to that torturous love, selling out his body for him to use, like a prostitute for love. Will He ever understand? The Alpha he craves does not deserve him in the least.

"You're a whore, a whore does not change overtime and you know that." He whispers back, loud enough for the older couple sitting across to hear. And they couldn't help but gasps in shock, as the older woman soaks her teeth in distaste while the older man frowns. "What did you just call me? Ethan, what did you call me? If you can't trust me, then maybe we shouldn't be together." She said, her voice barely above whisper and her eyes teary. But she felt like this was all a dream, they have been quarreling lately but not like this. It has never been like this. Earlier today when she told her sister, Eloise, about this dinner, they all hoped for an engagement. But this doesn't look like an engagement dinner, or does it?. This was some of the last words Aurelia heard from her boyfriend before she stumbled heartbroken into a bar where she meets the man who changed her life.