Chapter 11.3, Problem 37E

(a)

To determine

To calculate: The coordinate of projection of vector $\text{u}=\langle 6,7\rangle$ onto $\text{v}=\langle 1,4\rangle$.

(b)

To determine

To calculate: The coordinate of the vector component of $\text{u}=\langle 6,7\rangle$ orthogonal to $\text{v}=\langle 1,4\rangle$.