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

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

A

u is unit vector

B

`u = a+i+j+k`

C

`u =2a`

D

`u = 8(i+j+k)`

Text Solution

Verified by Experts

The correct Answer is:
C
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ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (3) (MULTIPLE CHOICE QUESTIONS)
  1. If a vector veca is expressed as the sum of two vectors vec(alpha) and...

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

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

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

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

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  7. 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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  8. Vector (b xx c) xx (c xx a) is a vector

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

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

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

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

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

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

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

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

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  19. Let veca = 2i + j + k, and b = i+ j if c is a vector such that veca ....

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  20. Let a =2i+j-2k and b=i+j. If c is a vector such that a.c = |c|,|c-a| =...

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