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If the position vectors of A,B and C ar...

If the position vectors of A,B and C are respectively `2bari-barj+bark, bari -3barj-5bark and 3bari - 4barj - 4bark, " then " cos^(2)` A =

A

0

B

`6/41`

C

`35/41`

D

1

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The correct Answer is:
C
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AAKASH SERIES-DOT PRODUCT OF TWO VECTORS-EXERCISE - II
  1. If bara,barb,barc " are three non zero vectors, and " bara.barb = bara...

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  2. If the position vectors of A,B and C are respectively 2bari-barj+bark...

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  3. If a,b are vectors of lengths a,b respectively then ((a)/(a^(2)) - (b)...

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  4. If bara,barb " are noncollinear unit vectors, " abs(bara+barb) =sqrt 3...

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  5. If bara,barb,barc " are three vectors such the " bara=barb+barc,(barb,...

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  6. If bara,barb,barc " are unit vectors such that " (bara,barb) = pi/6, (...

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  7. If a,b,c are vector of length 4,4,5 respectively and a,b,c are perpend...

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  8. If 2 out of 3 vectors bara,barb,barc " are unit vectors, " bara+barb+b...

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  9. The vectors bara,barb,barc " satisfy the condition " bara+barb+2barc=b...

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  10. absbara=absbarb=absbarc=1,(bara,barb)=alpha,(barb,barc)=beta(barc,bara...

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  11. If the angle between the vectors bari+bark and bari-barj+abark " is " ...

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  12. If bara = (-4, 2,4) and barb = (sqrt2, - sqrt2, 0), " then " (2bara,(b...

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  13. If bar(AB)=3bari - 4barj-bark, bar(BC) =4bari -barj+3bark are two side...

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  14. If bare(1) = (1,1,1), bare(2) = (1,1,-1) and bara, barb " are two vect...

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  15. If barA = bari+lambdabarj+bark , barB=bari+barj+bark " then for " abs(...

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  16. if bar(a) + bar(b) + bar(c ) = bar(0), |bar(a)| = 3, |bar(b)| = 5, |b...

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  17. If the unit vectors bara and barb " are inclined at an angle " 2theta ...

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  18. Suppose bara,barb,barc " be three unit vectors such that " abs(bara-ba...

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  19. P.T the smaller angle theta between any two diagonals of a cube is giv...

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  20. In a unit cube. Find The angle between a diagonal of a cube and the di...

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