Question:
prove that a*[b*(c*d)] = (b.d)(a*c)-(b.c)(a*d)
Answer:
Given,
a * [b * (c * d)] = a * [(b . d)c - (b * c)d]
=> a * [b * (c * d)] = a * {(b . d)c} - a * {(b * c)d}
=> a * [b * (c * d)] = (b . d)(a * c) - (b . c)(a * d)
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