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If the diagonals of a parallelogram are `bar(i)+5bar(j)-2bar(k) and -2bar(i)+bar(j)+3bar(k)` then the lengths of its sides are

A

5, 7

B

`sqrt(28)/2, sqrt(48)/2`

C

`sqrt(38)/2, sqrt(50)/2`

D

`5/2, 7/2`

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The correct Answer is:
C
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AAKASH SERIES-PROPERTIES OF VECTORS-EXERCISE - II
  1. ABCD is a parallelogram, with AC, BD as diagonals, then overset(-)(AC)...

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  2. OACB is a parallelogram with bar(OC)=bar(a), bar(AB)=bar(b)" then "bar...

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  3. If the diagonals of a parallelogram are bar(i)+5bar(j)-2bar(k) and -2b...

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  4. ABCD is a quadrilateral. E is the point of intersection of the line jo...

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  5. ABCDE is a pentagon then bar(AB)+bar(AE)+bar(BC)+bar(DC)+bar(ED)+bar...

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  6. ABCDEF is a regular hexagon. If bar(AB)+bar(AE)+bar(BC)+bar(DC)+bar(...

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  7. ABCDEF is a regular hexagon. bar(AB)+bar(AC)+bar(AD)+bar(EA)+bar(FA)...

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  8. ABCDEF is a regular hexagon. If bar(AB)=bar(a), bar(BC)=bar(b)" then...

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  9. ABCDEF is a regular hexagon. If bar(AB)=bar(a), bar(BC)=bar(b)" then...

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  10. ABCDEF is a regular hexagon. O is centre and P.V. of A, B are bar(i)...

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  11. If OABC, OCDE, OEFA are adjacent faces of a cube OABCDEF then bar(OB)+...

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  12. If I is the centre of a circle inscribed in a DeltaABC, then abs(bar(B...

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  13. If bar(r)=3bar(p)+4bar(q)" and "2bar(r)=bar(p)-3bar(q) then

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  14. If bar(e)=lbar(i)+mbar(j)+nbar(k) is a unit vector then maximum value ...

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  15. If l, m, n are d.c's of vector bar(OP) then maximum value of lmn is

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  16. A vector bar(a) has components a(1), a(2), a(3) in the right handed sy...

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  17. A vector bar(a) has components 2p and 1 w.r.t a rectangular cartesian ...

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  18. In a DeltaOAB The P.V.'s of A, B are bar(a), bar(b) respectively. The ...

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  19. The position vectors A, B are bar(a), bar(b) respectively. The positio...

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  20. If bar(a), bar(b), bar(c) are the position vectors of the vertices A, ...

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