(-3i+4j-5k)*(3i-4j+5k)=

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Solution for (-3i+4j-5k)*(3i-4j+5k)= equation: 


Simplifying
(-3i + 4j + -5k)(3i + -4j + 5k) = 0

Multiply (-3i + 4j + -5k) * (3i + -4j + 5k)
(-3i * (3i + -4j + 5k) + 4j * (3i + -4j + 5k) + -5k * (3i + -4j + 5k)) = 0
((3i * -3i + -4j * -3i + 5k * -3i) + 4j * (3i + -4j + 5k) + -5k * (3i + -4j + 5k)) = 0

Reorder the terms:
((12ij + -15ik + -9i2) + 4j * (3i + -4j + 5k) + -5k * (3i + -4j + 5k)) = 0
((12ij + -15ik + -9i2) + 4j * (3i + -4j + 5k) + -5k * (3i + -4j + 5k)) = 0
(12ij + -15ik + -9i2 + (3i * 4j + -4j * 4j + 5k * 4j) + -5k * (3i + -4j + 5k)) = 0

Reorder the terms:
(12ij + -15ik + -9i2 + (12ij + 20jk + -16j2) + -5k * (3i + -4j + 5k)) = 0
(12ij + -15ik + -9i2 + (12ij + 20jk + -16j2) + -5k * (3i + -4j + 5k)) = 0
(12ij + -15ik + -9i2 + 12ij + 20jk + -16j2 + (3i * -5k + -4j * -5k + 5k * -5k)) = 0
(12ij + -15ik + -9i2 + 12ij + 20jk + -16j2 + (-15ik + 20jk + -25k2)) = 0

Reorder the terms:
(12ij + 12ij + -15ik + -15ik + -9i2 + 20jk + 20jk + -16j2 + -25k2) = 0

Combine like terms: 12ij + 12ij = 24ij
(24ij + -15ik + -15ik + -9i2 + 20jk + 20jk + -16j2 + -25k2) = 0

Combine like terms: -15ik + -15ik = -30ik
(24ij + -30ik + -9i2 + 20jk + 20jk + -16j2 + -25k2) = 0

Combine like terms: 20jk + 20jk = 40jk
(24ij + -30ik + -9i2 + 40jk + -16j2 + -25k2) = 0

Solving
24ij + -30ik + -9i2 + 40jk + -16j2 + -25k2 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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