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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

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Verified by Experts

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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  13. The two adjacent sides of a parallelogram are 2hati+4hatj-5hatk and ha...

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  14. If A,B and C are the vertices of a triangle with position vectors vec(...

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  15. If ABCDEF is a regular hexagon then vec(AD)+vec(EB)+vec(FC) equals :

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  16. Find the discriminant of the quadratic equation x^2+3x+2

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  17. In a regular hexagon ABCDEF, prove that AB+AC+AD+AE+AF=3AD.

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  18. Find the dot product of the vector 2hati+3hatj+1hatk and 1hati+2hatj+3...

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  19. If a and b are two non-zero and non-collinear vectors then a+b and a-b...

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  20. If |veca+ vecb| lt | veca- vecb|, then the angle between veca and vecb...

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