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Let O be the origin and let PQR be an ar...

Let O be the origin and let PQR be an arbitrary triangle. The point S is such that `bar(OP)*bar(OQ)+bar(OR)*bar(OS)=bar(OR)*bar(OP)+bar(OQ)*bar(OS)=bar(OQ)*bar(OR)+bar(OP)*bar(OS)` Then the triangle PQR has S as its

A

circmcentre

B

Incentre

C

Centroid

D

orthocenter

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Verified by Experts

The correct Answer is:
D
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MOTION-VECTOR -EXERCISE - 4 ( LEVEL-II)
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  7. If veca and vecb are vectors in space given by veca=(hati-23hatj)/(sqr...

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  8. Let veca=hati + hatj +hatk,vecb=hati- hatj + hatk and vecc= hati-hatj...

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  9. The vectors which is/are coplanar with vectors hati+hatj+2hatk and hat...

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  10. Let veca=-hati-hatk, vecb=-hati+hatj and vecc=hati+2hatj+3hatk be th...

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  11. Let bar(PR)=3hati+hatj-2hatk and bar(SQ)=hati-3hatj-4hatk determine d...

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  12. Consider the set of eight vector V={a hat i+b hat j+c hat k ; a ,bc in...

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  13. Let vecx,vecy and vecz be three vector each of magnitude sqrt(2) an...

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  14. Let veca, vecb and vecc be non - coplanar unit vectors, equally inclin...

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  15. Let triangle PQR be a triangle. Let veca = vec(QR) , vecb = vec(RP) a...

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  16. Let vecu = u(1)hati + u(2)hatj +u(3)hatk be a unit vector in R^(3) a...

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  17. Let O be the origin and let PQR be an arbitrary triangle. The point S ...

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  18. Let O be the origin and OX, OY, OZ be three unit vectors in the direct...

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  20. Letveca and vecb be two unit vectors such that veca.vecb=0. For some x...

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