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

Short Answer

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