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Let veca=hati-hatk, vecb=xhati+hatj+(1-x...

Let `veca=hati-hatk, vecb=xhati+hatj+(1-x)hatk and vecc=yhati+xhatj+(1+x-y)hatk. Then `[veca vecb vecc]` depends on (A) only x (B) only y (C) neither x nor y (D) both x and y

A

only x

B

only y

C

neither x nor y

D

both x and y

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The correct Answer is:
C
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MOTION-VECTOR -EXERCISE - 4 ( LEVEL-II)
  1. Two vertices of a triangle are at -hati+3hatj and 2hati+5hatj and its ...

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  2. If veca, vecb, vecc are unit vectors, then |veca-vecb|^2+|vecb-vec|^2+...

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  3. Let veca=hati-hatk, vecb=xhati+hatj+(1-x)hatk and vecc=yhati+xhatj+(1+...

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  4. Let vec A(t) = f1(t) hat i + f2(t) hat j and vec B(t) = g(t)hat i+g2(...

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  5. If veca and vecb are two unit vectors such that veca+2vecb and 5veca-4...

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  6. Let vecV=2hati+hatj-hatk and vecW=hati+3hatk. It vecU is a unit vector...

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  7. The value of a so that the volume of the paralelopiped formed by hati+...

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  8. A unit vector int eh plane of the vectors 2hati+hatj+hatk, hati-hatj+h...

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  9. If veca=veci+vecj+veck, veca.vecb=1 and vecaxxvecb=vecj-veck, then vec...

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

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

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

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

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

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

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

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

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

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

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

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