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If a and b are the vectors AB and BC det...

If a and b are the vectors AB and BC determined by the adjacent sides of a ragular hexagon. What are the vectors determined by the other sides taken is order?

Text Solution

Verified by Experts

Given AB= a and BC = b
form the method of vector addition (or subtraction) we can show that,
`CD= b-a`
Then `DE =- AB =- a`
`EF =-BC =- b`
and `FA =- CD = a -b`
.
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Knowledge Check

  • overline(a), overline(b) are vectors, overline(AB), overline(BC) determined by two adjacent sides of a regular hexagon ABCDEF.The vector represented by overline(EF) is

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