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If 'theta' is the angle between the unit...

If '`theta`' is the angle between the unit vectors `bara, barb," then " abs(bara+barb) =`

A

`sin(theta//2)`

B

`2sin(theta//2)`

C

`cos(theta//2)`

D

`2cos(theta//2)`

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-DOT PRODUCT OF TWO VECTORS-EXERCISE - I
  1. If bara " is perpendicular to " bari+barj+ bark " then the vector " b...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. The orthogonal projection vector of bara = 2bari + 3barj+3bark " on "...

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  18. The length of projection of bari -2barj+2bark on X-axis is

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  19. If bara = bari -barj-bark, barb = lambdabari-3barj+bark " and the or-t...

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  20. The component vector of 4bari-4barj-7bark " perpendicular to " bari-2b...

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