The orthogonal projection of $\mathbf{a}$ on $\mathbf{b}$ is

The orthogonal projection of $\mathbf{a}$ on $\mathbf{b}$ is
  1. $\frac{(\mathbf{a} \cdot \mathbf{b}) \mathbf{a}}{|\mathbf{a}|^2}$
  2. $\frac{(\mathbf{a} \cdot \mathbf{b}) \mathbf{b}}{|\mathbf{b}|^2}$
  3. $\frac{\mathbf{a}}{|\mathbf{a}|^2}$
  4. $\frac{\mathbf{b}}{|\mathbf{b}|}$

Solution

The orthogonal projection of $\mathbf{a}$ on $\mathbf{b}$ $ =\frac{(\mathbf{a} \cdot \mathbf{b}) \mathrm{b}}{|\mathrm{b}|^2} $

Asked in: AP EAMCET 2002

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