For the Vectors $\mathbf{u}=\langle 1,4\rangle$ And $\mathbf{v}=\langle 2,1\rangle$ , Find the Following:
(A)

Short Answer

For the vectors $\mathbf{u}=\langle 1,4\rangle$ and $\mathbf{v}=\langle 2,1\rangle$ , find the following:
(a) $4 \mathbf{u}-\mathbf{v}$
(b) $\frac{1}{3} \mathbf{u}$
(c) $\mathbf{u} \cdot \mathbf{v}$
(d) the angle between $\mathbf{u}$ and $\mathbf{v}$