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The unit vector perpendicular to the two...

The unit vector perpendicular to the two vectors i-j and i+2j, and perpendicular to the first, is

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The correct Answer is:
` = (i+j)/(sqrt(2))`
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ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Self Assessment Test (MULTIPLE CHOICE QUESTIONS)
  1. If a = 4i + 6j and b = 3j+4k, then the vector form of component of a a...

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  2. A unit vector perpendicular to the vector 4i-j+3k and -2i+j-2k is

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  3. The unit vector perpendicular to the two vectors i-j and i+2j, and per...

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

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  5. The volume of a parallelopiped whose sides are given by vecOA =2i-3j,v...

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  6. If alpha = 2i + 3j - k, beta = -i + 2j-4k, gamma = i+j+k then the valu...

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  7. Let vec a=2 hat i- hat j+ hat k , vec b= hat i+2 hat j= hat ka n d ve...

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  8. If the vectors vec c , vec a=x hat i+y hat j+z hat ka n d vec b= hat ...

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  9. If veca lies in the plane of vectors vecb and vecc, then which of the ...

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  10. If a xx b = c, b xx c = a and a, b,c be moduli of the vectors a, b,c...

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  11. Let a-i+j and b=2i-k.The point of intersection of the lines r times a=...

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  12. Let a,b, c be three non-coplanar vectors and r be any vector in space ...

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  13. Let a, b, c be unit vectors such that a + b + c = 0 which one of the f...

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  14. Unit vector vecc is inclined at an angle theta to unit vectors ve...

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  15. If hata,hatb,hatc and hatd are unit vectors such that (hata xx hatb). ...

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  16. If vecu, vecv, vecw are non -coplanar vectors and p,q, are real numbe...

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  17. Let ABCD be a parallelogram such that vec A B= vec q , vec A D= vec p...

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  18. Two vectors a and b are not perpendicular and c and d are two vectors ...

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  19. IF a and b are vectors such that | a + b| = sqrt(29) and a xx (2i+3j+4...

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  20. If the vectors a = i-j+2k, b =2i+4j+k and c=lambdai+j+mu k are mutuall...

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