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Find all values of λ such that (x, y, z) ≠ (0, 0, 0) and x(i, j, 3k) + y(3i – 3j + k) + z(– 4i + 5j) = λ(xi + yj + zk), where i, j, k are unit

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Find all values of λ such that (x, y, z) ≠ (0, 0, 0) and x(i, j, 3k) + y(3i – 3j + k) + z(– 4i + 5j) = λ(xi + yj + zk), where i, j, k are unit vectors along the co-ordinate axes.

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Given,

x(i + j + 3k) + y(3i – 3j + k) + z (– 4i + 5j)

= λ(xi + yj + zk)

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