[Solution] Find real numbers a, b, and c so that the span of (1,2,1) and (3,2,-5) is the subspace of R^3 given by (a,b,c)^bot = (x,y,z) ∈ R^3:
Question: Find real numbers a, b, and c so that the span of \(\left( 1,2,1 \right)\) and \(\left( 3,2,-5 \right)\) is the subspace of \({{\mathbb{R}}^{3}}\) given by
\[{{\left( a,b,c \right)}^{\bot }}=\left\{ \left( x,y,z \right)\in {{\mathbb{R}}^{3}}:\,\,ax+by+cz=0 \right\}\]
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[Solution] Find all real numbers k_1,k_2,k_3 so that the function
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(See Solution) Recall that we use the symbol R[ x ] to mean the real
(See) Consider the function f:R→ R^3 defined by f(θ
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