(Solved): Let \( \mathbf{a} \) and \( \mathbf{b} \) be two vectors \( \mathbb{R}^{n} \). The vector \[ \frac{ ...

Let \( \mathbf{a} \) and \( \mathbf{b} \) be two vectors \( \mathbb{R}^{n} \). The vector \[ \frac{\mathbf{a} \cdot \mathbf{b}}{\mathbf{b} \cdot \mathbf{b}} \mathbf{b} \] none of the choices is correct is the orthogonal projection of \( \mathbf{a} \) onto \( \mathbf{b} \). is the orthogonal projection of \( \mathbf{b} \) onto \( \mathbf{a} \). is the component of \( \mathbf{b} \) orthogonal to \( \mathbf{a} \). is the component of \( \mathbf{a} \) orthogonal to \( \mathbf{b} \).