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If veca, vecb, vecc are unit vectors, th...

If `veca, vecb, vecc are unit vectors, then `|veca-vecb|^2+|vecb-vec|^2+|vecc^2-veca^2|^2` does not exceed (A) 4 (B) 9 (C) 8 (D) 6

A

4

B

9

C

8

D

6

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B
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MOTION-VECTOR -EXERCISE - 4 ( LEVEL-II)
  1. Find the all the values of lamda such that (x,y,z)!=(0,0,0)and x(hati+...

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  2. Two vertices of a triangle are at -hati+3hatj and 2hati+5hatj and its ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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