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The P.V.'s of the vertices of a triangle...

The P.V.'s of the vertices of a triangle are `2bar(i)+3bar(j)+4bar(k), 4bar(i)+6bar(j)+3bar(k), 3bar(i)+2bar(j)+3bar(k)` P.V. of its orthocentre is

A

`2bar(i)-3bar(j)+4bar(k)`

B

`2bar(i)+3bar(j)-4bar(k)`

C

`2bar(i)+3bar(j)+4bar(k)`

D

`-2bar(i)+3bar(j)+4bar(k)`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-PROPERTIES OF VECTORS-EXERCISE - II
  1. If S is the circumcentre, O is the orthocentre of Delta ABC then vec(O...

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  2. The P.V.'s of the vertices of a DeltaABC are bar(i)+bar(j)+bar(k), 4ba...

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  3. The P.V.'s of the vertices of a triangle are 2bar(i)+3bar(j)+4bar(k), ...

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  4. DeltaABC be an equilateral triangle whose orthocentre is the origin 'O...

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  5. The P.V.'s of A, B, C are bar(i)+bar(j)+bar(k), 4bar(i)+bar(j)+bar(k),...

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  6. In a DeltaABC, P.V.'s of midpoints of AB, AC are bar(i)-bar(j)+bar(k),...

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  7. The vectors of bar(AB)=3bar(i)+4bar(k) and bar(AC)=5bar(i)-2bar(j)+4ba...

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  8. If D, E, F are the midpoints of BC, CA, AB of Delta ABC, then vec(A)D ...

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  9. If D, E and F are respectively the mid-points of AB, AC and BC in Delt...

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  10. If ABCD is a parallelogram then bar(AC)+bar(BD)=

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  11. ABCD is a parallelogram, with AC, BD as diagonals, then overset(-)(AC)...

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

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

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

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

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

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

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

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

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

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