?Verify the identity \(\mathbf{u} \cdot(\mathbf{v}+\mathbf{w})=\mathbf{u} \cdot
Chapter 2, Problem 160(choose chapter or problem)
Verify the identity \(\mathbf{u} \cdot(\mathbf{v}+\mathbf{w})=\mathbf{u} \cdot \mathbf{v}+\mathbf{u} \cdot \mathbf{w}\) for vectors \(\mathbf{u}=\langle 1,0,4\rangle\) , \(\mathbf{v}=\langle-2,3,5\rangle\) , and \(\mathbf{w}=\langle 4,-2,6\rangle\) .
Text Transcription:
u cdot (v + w) = u cdot v + u cdot w
u = langle 1,0,4 rangle
v = langle -2,3,5 rangle
w = langle 4,-2,6 rangle
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