Chapter 12 - Vectors and the Geometry of Space - Review - Concept Check - Page 881: 7

Scalar projection of $b$ onto $a$ is defined as: $comp_ab=\dfrac{a \cdot b}{|a|}$ Vector projection of $b$ onto $a$ is defined as: $proj_ab$=Scalar projection $\times$ unit vector in direction $a$ $=\dfrac{a \cdot b}{|a|} \times \frac{a}{|a|}$ $=\dfrac{a \cdot b}{|a|^2} a$ See the attached graph.

Scalar projection of $b$ onto $a$ is defined as: $comp_ab=\dfrac{a \cdot b}{|a|}$ Vector projection of $b$ onto $a$ is defined as: $proj_ab$=Scalar projection $\times$ unit vector in direction $a$ $=\dfrac{a \cdot b}{|a|} \times \frac{a}{|a|}$ $=\dfrac{a \cdot b}{|a|^2} a$ See the attached graph.