Chapter 4 - Vector Spaces - 4.1 Vectors in Rn - 4.1 Exercises - Page 153: 22

$(-3,4,20)$

Work Step by Step

$5\mathbf{u}-3\mathbf{v}-\frac{1}{2}\mathbf{w}$ $\mathbf{u}=(1,2,3)\quad\mathbf{v}=(2,2-1)\quad\mathbf{w}=(4,0,-4)$ $5\mathbf{u}-3\mathbf{v}-\frac{1}{2}\mathbf{w}=5(1,2,3)-3(2,2,-1)-\frac{1}{2}(4,0,-4)$ $=(5,10,15)-(6,6,-3)-(2,0,-2)=(-3,4,20)$

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