e) If a=3, b= -2, c= -1, verify that:
bxcx a = a xbx c= cxa xb
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Question:
Verify that: b × c × a = a × b × c = c × a × b
Given:
a = 3, b = -2, c = -1
Step-by-step explanation:
- Lets divide the question in three parts:
- We have the following equations to solve :
- b × c × a
- a × b × c
- c × a × b
- And in last we'll verify their equality.
- Lets solve the first equation, b × c × a
- a = 3, b = -2, c = -1
- = -2 × -1 × 3
- = 2 × 3
- = - 6
- Lets solve the second equation, a × b × c
- = 3 × -2 × -1
- = -6 × -1
- = 6
- Lets solve the third equation, c × a × b
- = -1 × 3 × -2
- = -3 ×-2
- = 6
As, equation 1, equation 2 and equation 3 are equal. We can say that b × c × a = a × b × c= c × a × b is verified for a = 3, b = -2, c = -1.
Hence, verified.
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