Let v1, v2, v3, w E R'. Let a2 a3 b2 be vectors in R³ satisfy b3 avi + azv2 + azvz = bịvi + bzv2 + bzvz = w. Set e = a1 – b1, c2 = a2 – b2, c3 = az – b3. a) Prove that C1v1 +Cz®2 + czV3 = 04. b) If d; = a; + te; for i = 1,2,3 and t any scalar, prove that div + dzv2 + dzv3 = w.

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A: Expression

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