State the whether given equation is true or false If a - b - c - 0-prove that a-b - b-c - c-a

The correct option is A True =→a+→b+→c=0 Let us take = →a×→b = →a× ( →c →a) =→a×→ a →a×→c =0 →a×→c =→c×→a =→c× (→ b×→ c) ...

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Byju's Answer

Standard XII

Mathematics

Definition of Functions

State the whe...

Question

State the whether given equation is true or false
If $\to a + \to b + \to c = 0$ ,prove that $\to a \times \to b = \to b \times \to c = \to c \times \to a$

True

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False

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Solution

The correct option is A True
$= \to a + \to b + \to c = 0$
Let us take $= \to a \times \to b$
$= \to a \times (- \to c - \to a)$
$= \to a \times \to - a - \to a \times \to c$
$= 0 - \to a \times \to c$
$= \to c \times \to a$
$= \to c \times (\to - b \times \to - c)$
$= \to - c \times \to b - \to c \to c$
$= \to - c \times \to b$
$= \to b \times \to c$

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State the whether given equation is true or false If →a+→b+→c=0,prove that →a×→b=→b×→c=→c×→a

The correct option is A True=→a+→b+→c=0Let us take =→a×→b=→a×(−→c−→a)=→a×→−a−→a×→c=0−→a×→c=→c×→a=→c×(→−b×→−c)=→−c×→b−→c→c=→−c×→b=→b×→c

State the whether given equation is true or false
If $\to a + \to b + \to c = 0$ ,prove that $\to a \times \to b = \to b \times \to c = \to c \times \to a$