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 $\mathbf{v}$

Question

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The Answer of 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 $\mathbf{v}$

For the Vectors u=⟨1,4⟩\mathbf{u}=\langle 1,4\rangleu=⟨1,4⟩ And v=⟨2,1⟩\mathbf{v}=\langle 2,1\ranglev=⟨2,1⟩ , Find the Following: (A)

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