Find the values of lambda such that x ,y...

Find the values of `lambda` such that `x ,y ,z!=(0,0,0)` and `( hat i+ hat j+3 hat k)x+(3 hat i-3 hat j+ hat k)y+(-4 hat i+5 hat j)z=lambda(x hat i+y hat j+z hat k)`, where `hat i , hat j , hat k` are unit vector along coordinate axes.

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