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Let veca, vecb ,vecc be unit vetors such...

Let `veca, vecb ,vecc` be unit vetors such that `veca + vecb + vecc = vec0` , which one of the following is correct ?

A

`vecaxxvecb=vecbxxvecc=veccxxveca=vec0`

B

`vecaxxvecb=vecbxxvecc=veccxxvecanevec0`

C

`vecaxxvecb=vecbxxvecc=vecaxxveccnevec0`

D

`vecaxxvecb,vecbxxvecc,veccxxveca` are mutually perpendicular.

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The correct Answer is:
B
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MOTION-VECTOR -EXERCISE - 4 ( LEVEL-II)
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  2. The number of distinct values of lamda, for which the vectors -lamda^(...

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  3. Let veca, vecb ,vecc be unit vetors such that veca + vecb + vecc = ve...

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  4. Assertion: vec(PQ)xx(vec(RS)+vec(ST))!=0, Reason : vec(PQ)xxvec(RS)=ve...

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  5. The edges of a parallelopiped are of unit length and are parallel to n...

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  6. Lelt two non collinear unit vectors hata and hatb form and acute angle...

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  7. If veca,vecb,vecc and vecd are unit vectors such that (vecaxxvecb).(ve...

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  8. Let P, Q, R and S be the points on the plane with position vectors -2h...

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  9. If veca and vecb are vectors in space given by veca=(hati-23hatj)/(sqr...

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

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

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

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

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

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

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

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

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

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

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

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