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Let veca=hati + 2hatj +hatk, vecb=hati -...

Let `veca=hati + 2hatj +hatk, vecb=hati - hatj +hatk andvecc= hathatj-hatk` A vector in the plane of `veca and vecb` whose projections on `vecc is 1//sqrt3` is

A

`4hati-hatj+4hatk`

B

`3hati+hatj-3hatk`

C

`2hati+hatj-2hatk`

D

`4hati+hatj-4hatk`

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A
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MOTION-VECTOR -EXERCISE - 4 ( LEVEL-II)
  1. If veca=veci+vecj+veck, veca.vecb=1 and vecaxxvecb=vecj-veck, then vec...

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  2. If veca,vecb,vecc,vecd are four distinct vectors satisfying the condit...

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  3. Let veca=hati + 2hatj +hatk, vecb=hati - hatj +hatk andvecc= hathatj-h...

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  4. Let vecA be a vector parallel to the of intersection of planes P1 and ...

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  5. The number of distinct values of lamda, for which the vectors -lamda^(...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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