If a.b = a.c and a × b = a × c, a ≠ 0, then show that b = c.
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Case I:-
Given that
a.b = a.c
a.b - a.c = 0
a. (b - c) = 0
⇒ Either a = 0 or b - c = 0
But a ≠ 0 (Given)
⇒ b - c = 0
b = c As Required
Case II:-
Given that
a × b = a × c
a × b - a × c = 0
a × (b - c) = 0
⇒ Either a = 0 or b - c = 0
But a ≠ 0 (Given)
⇒ b - c = 0
b = c As Required
Answered by
1
Answer:
it will be either a = 0 or b= c
might be helpful ✨
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