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if A,B,C,D and E are five coplanar point...

if A,B,C,D and E are five coplanar points, then `vec(DA) + vec( DB) + vec(DC ) + vec( AE) + vec( BE) + vec( CE)` is equal to `:`

A

DE

B

3DE

C

2DE

D

4ED

Text Solution

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The correct Answer is:
B

A,B,C,D and E are five coplanar points.
`DA+DB+AE+BE+CE`
`=(DA+AE)+(DB+BE)+(DC+CE)`
`=DE+DE+DE=3DE`
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