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If a vector veca is expressed as the sum...

If a vector `veca` is expressed as the sum of two vectors `vec(alpha)` and `vec(beta)` along and perpendicular to a given vector `vecb` then `vec(beta)` is equal to

A

`((a xxb)xxb)/(|b|^(2))`

B

`(b xx (a xx b))/(|b|^(2))`

C

`(bxx(axxb))/(|b|)`

D

`((a.b)/(|b|^(2)))b`

Text Solution

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The correct Answer is:
B
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ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (3) (MULTIPLE CHOICE QUESTIONS)
  1. If vec a , vec ba n d vec c are non-coplanar unit vectors such tha...

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  2. If a is perpendicular to b and c, then

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  3. If a vector veca is expressed as the sum of two vectors vec(alpha) and...

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  4. u = a xx (b xx c) + b xx ( c xx a) + c xx ( a xx b) , then

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  5. If u = i xx (a xx i), + j xx (a xx j) + k xx(a xx k), then

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  6. If a = i+j+k and b=i-j then the vectors (a.i)i+(a.j)j+(a.k)k, (b...

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  7. [abi]i+[abj]j+[abk]k is a equal to

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  8. The vector hati xx [(axxb) xx hati] + hatj xx [(axxb)xxhatj ] + hat...

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  9. If a xx b = c, b xx c= a and a,b,c be moduli of the vector a, b,c res...

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  10. Vector (b xx c) xx (c xx a) is a vector

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  11. If (a xx b) xx c = a xx (bxx c), then

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  12. If (veca xx vecb) xx vecc = vec a xx (vecb xx vecc), where veca, vecb ...

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  13. [a " " b " " axx b] is equal to

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  14. a xx [ a xx (a xx b)] equals

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  15. If the vectors veca and vecb are mutually perpendicular, then veca xx ...

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  16. If |a|=2a n d|b|=3 and adotb=0,t h e n(axx(axx(axx(axxb)))) is equal t...

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  17. [a " " b " "axxb] +[a.b]^(2) =

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  18. If a = 1,2,4, b =2,-3,-1, c=1,4-4, then the vector a xx(b xxc) is orth...

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  19. The magnitudes of vectors vec a , vec b and vec c are respectively 1...

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  20. For non-coplanar vectors a, b and c, abs((a times b)*c)=abs(a) abs(b) ...

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