1. The problem statement, all variables and given/known data Four 3-vectors a, b, c, and d are related by the equation ax + by + cz = d; where x, y, and z are real parameters. Using a suitable combination of scalar and vector products, findd x, y, and z in terms of the vectors 2. Relevant equations 3. The attempt at a solution So I tried to eliminate one vector at a time by doing the cross product of d and b etc so: d^b=(a^b)x + (c^b)z and d^c=(a^c)x + (b^c)y the other term cancelling as b^b=0 Therefore: z=(d^b-(a^b)x)/(c^b) y=(d^c-(a^c)x)/(b^c) And substituting into the equation in the question everything seems to cancel out and I get: xa=d, not sure if my approach is just entirely wrong. Any help would be greatly appreciated.