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If bare(1) = (1,1,1), bare(2) = (1,1,-1)...

If `bare_(1) = (1,1,1), bare_(2) = (1,1,-1) and bara, barb " are two vectors such that " bare_(1)=2bara+barb and bare_(2)= bara+2barb, " then " (bara,barb)`=

A

`cos^(-1)(7//9)`

B

`cos^(-1)(7//11)`

C

`cos^(-1)(-7//11)`

D

`cos^(-1)(6sqrt2//11)`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-DOT PRODUCT OF TWO VECTORS-EXERCISE - II
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  2. If bar(AB)=3bari - 4barj-bark, bar(BC) =4bari -barj+3bark are two side...

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

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

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

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

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

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

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

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  10. If p^(th), q^(th), r^(th) terms of a geometric progression are the pos...

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  11. The position vector of A is pbari+barj. If A is rotated about O throug...

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  12. If bara,barb are two vectors of magnitude 2 and inclined at 60^(@) ," ...

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  13. If bara.barb= 0and bara+barb " makes an angle of " 30^(@) with bara ,...

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  14. If (bara+barb)botbara, absbarb =sqrt2 absbara, then

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  15. The vectors 2bari -mbarj+3mbark and (1+m) bari -2m barj+bark include a...

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  16. If the angle between the vectors bara =lambdabari-7barj+3bark,barb=lam...

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  17. If the vectors bara = (lambda log(2) x) bari - 6barj + 3bark and barb ...

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  18. The value of 'x' for which the angle between bara=2x^(2)bari+4barxj+ba...

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  19. A vector bara of magnitude 50 is collinear with the vector 6bari -8bar...

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  20. A=(2,3,5), B(-1,3,2), C=(lambda,5,mu) are the vertices of a triangle. ...

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