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Let k∈R and⃗ u be a vector in a vector space. Show that if k⃗u =⃗...

Let k∈R and⃗ u be a vector in a vector space. Show that if k⃗u =⃗ 0 and k̸= 0, then⃗ u =⃗ 0. (Remark: This implies Theorem 4.1.1 (d): If k⃗u = ⃗0, then k = 0 or ⃗u = ⃗0.)

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