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A, B C and D are four points in a plane ...

A, B C and D are four points in a plane with position vectors, `veca, vecb vecc and vecd` respectively, such that `(veca-vecd).(vecb-vecc)= (vecb-vecd).(vecc-veca)=0` then point D is the ______ of triangle ABC.

A

centroid of `triangleABC`

B

orthocenter of `triangleABC`

C

circumcenter of `triangleABC`

D

None of these

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The correct Answer is:
B
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VMC MODULES ENGLISH-VECTORS -LEVEL -1
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  2. Given a parallelogram ABCD. If |AB|=a, |AD|=b, |AC|=c, then DB*AB has ...

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  3. A, B C and D are four points in a plane with position vectors, veca, v...

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  4. vecx and vecy are two mutually perpendicular unit vectors. If the vect...

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  5. If non-zero vectors veca and vecb are perpendicular to each ot...

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  6. The volume of the tetrahedron whose vertices are the points with posit...

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  7. If veca = (hati + hatj +hatk), veca. vecb= 1 and vecaxxvecb = hatj -ha...

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  8. ABC is isosceles triangle, right angled at A. The resultant of the for...

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  9. If (atimesb)timesc=atimes(btimesc), where a, b and c are any three vac...

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  10. Let veca, vecb and vecc be non-zero vectors such that no two are colli...

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  11. If veca and vecb are mutually perpendicular unit vectors, vecris a vec...

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  12. If V is the volume of the parallelepiped having three coterminous edge...

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  13. Let G(1), G(2) and G(3) be the centroid of the triangular faces OBC, O...

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  14. If hati, hatj, hatk are unit orthonormal vectors and veca is a vector,...

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  15. The vector vec a has the components 2p and 1 w.r.t. a rectangular C...

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  16. If the vectors veca=hati+ahatj+a^(2)hatk, vecb=hati+bhatj+b^(2)hatk, v...

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  17. If veca =hati + hatj, vecb = hati - hatj + hatk and vecc is a unit vec...

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  18. If the vectors veca and vecb are mutually perpendicular, then veca xx ...

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  19. If veca is perpendicular to vecb and vecr is a non-zero vector such th...

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  20. Let veca=hati-hatj, vecb=hatj-hatk, vecc=hatk-hati. If hatd is a unit ...

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