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a, b, c, d are the vertices of a square,...

a, b, c, d are the vertices of a square, then

A

`(b-a) = (c-b)`

B

`a + b + c = 0`

C

`(c-a).(d-b) =0`

D

none of these

Text Solution

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The correct Answer is:
C
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ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. The vector a + 3b is perpendicular to 7a-5b and a-5b is perpendicular ...

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  2. Four points with position vectors 7i-4j+7k, i -6j+10k,-i-3j+4k and 5i-...

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  3. a, b, c, d are the vertices of a square, then

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  4. ai + 3j + 4k and sqrt(b) i+5k are two vectors, where a, b gt 0 are tw...

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  5. A parallelogram is constructed on the vectors r(1) = 3a-b, r(2) = a + ...

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  6. The vectors a =3i-2j+2k and b =-i-2k are adjacement sides of a parall...

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  7. The length of longer diagonal of the parallelogram constructed on 5...

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  8. OABC is a parallelogram such that OA = a, OB = b and OC =c, then the v...

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  9. Find the length of perpendicular from the piont A(1,4,-2) to the line ...

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  10. Let the points P, Q and R have position vectors r(1) = 3i-2j-k r(2...

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  11. Given the vectors a=3i-j+5k" and "b=i+2j-3k. A vector c which is perp...

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  12. IF veca, vecb, vecc are the position vectors of the vertices of an equ...

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  13. If a, b, c, d are the position vectors of points A, B, C and D respec...

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  14. The position vectors of four points A, B, C, D lying in a plane are a,...

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  15. Area of parallelogram whose adjacent sides of a = i +2j+3k, b = 3i-2j...

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  16. The vector A = 3i-k, b=i+2j are adjacent sides of a parallelogram . It...

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  17. The area of a parallelogram having diagonals a=3i+j-2k" and "b=i-3j+4k...

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  18. The area of a parallelogram is 5sqrt(3) then its diagonals are given b...

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  19. The area of the triangle whose two sides are given by 2i-7j+k and 4j-3...

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  20. The area of parallelogram constructed on the vector a =m + 2n and b =2...

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