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If bar(OA) =bari + 2barj+3bark, bar(OB) ...

If `bar(OA) =bari + 2barj+3bark, bar(OB) = 3bari +barj - 2bark and bar(OC) = 2i - 3barj +bark, " then " bar(AB).bar(AC) =`

A

15

B

17

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0

D

10

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B
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If bara = bari - 2barj - 3bark, barb = 2bari + barj - bark , barc = bari + 3barj - 2bark then find bar(a) xx (barb xx barc) and |(barb xx barc) xx barc | .

If bara = bari - 2barj - 3bark , barb= 2bari + barj - bark , barc = bari + 3barj - 2bark find bara xx (barb xx barc) .

If bar(AB)=3bari - 4barj-bark, bar(BC) =4bari -barj+3bark are two sides of a DeltaABC, " then " angleC =

If bara = -bari+2barj+3bark, barb = bari -2barj+bark, barc = 4bari-3barj-2bark and bara +lambda barb " is perpendicular to " barc, " then " lambda =

Let bara = bari + 2barj+ 3bark , barb = -bari + 2barj+bark. " If " barc = 3bari +barj+tbark is perpendicular to (bara+barb) , then find t.

If bara= 2bari+barj-3bark, barb = bari-2barj+bark, barc = -bari+barj-4bark" and "bard=bari+barj+bark , then compute |(bara xx barb)xx (barc xx bard)| .

If bara = 3bari - 4barj +5bark, barb = 2bari+3barj-bark ," then the angle between " bara and barb is

AAKASH SERIES-DOT PRODUCT OF TWO VECTORS-EXERCISE - I
  1. If absbara =2, absbarb =3, (bara,barb) = 120^(@), " then " bara.barb =

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  2. If bar(OA) =bari + 2barj+3bark, bar(OB) = 3bari +barj - 2bark and bar...

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  3. If barp = (2,1,3), barq = (-2,3,1), barr = (3,-2,4) and barj is the un...

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  4. (bara.bari)^(2) + (bara.barj)^(2) + (bara.bark)^(2) =

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  5. If bara " is perpendicular to " bari+barj+ bark " then the vector " b...

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  6. If absbara =3, absbarb = 4 and (bara,barb) = pi/2," then " abs(bara+ba...

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  7. If 'theta' is the angle between the unit vectors bara, barb," then " a...

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  8. If the sum of two unit vectors is an unit vector, the magnitude of the...

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  9. If absbara =3, absbarb = 4, and (bara-barb) = 5, " then " abs(bara+ba...

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  10. If abs(bara+barb) = abs(bara-barb), " then " bara.barb =

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  11. If bara,barb,barc are three vectors such that absbara =1, absbarb = ...

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  12. If bara = 3bari - 4barj +5bark, barb = 2bari+3barj-bark ," then the an...

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  13. If bara =-bari+barj+2bark, barb =2bari +barj-bark, barc =-2bari+barj+3...

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  14. The acute angle made by the line joining the points (1, -3 ,2) and (3,...

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  15. If bara = bari+2barj+3bark, barb = -bari+2barj+bark, barc =3bari +barj...

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  16. If the vectors bari -2xbarj-3ybark and bari +3xbarj+2ybark are orthogo...

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  17. If bara=bari+barj+tbark, barb=bari+2barj+3bark, then the value of 't' ...

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  18. If the vectors bara =bari - barj + 2bark, barb =2bari+4barj+bark and b...

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  19. If bara,barb, bara+barb " are unit vectors, then " (bara,barb)=

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  20. If three unit vectors bara,barb,barc " satisfy " bara+barb+barc =bar0 ...

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