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Let bara = 2bari -barj+bark , barb=bari+...

Let `bara = 2bari -barj+bark , barb=bari+2barj-bark , barc=bari+barj-2bark` be the three vectors. A vector in the plane of `barb, barc " and whose projection on " bara " of magnitude " sqrt(2/3)` is

A

`2bari+3barj-3bark`

B

`2bari+3barj+3bark`

C

`2bari+barj-5bark`

D

`bari+barj-bark`

Text Solution

Verified by Experts

The correct Answer is:
A
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AAKASH SERIES-DOT PRODUCT OF TWO VECTORS-EXERCISE - II
  1. The magnitude of the projection of the vector bara=4bari-3barj+2bark o...

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  2. If barb=4bari+3barj and barc be two perpendicular vectors in xy-plane....

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  3. Let bara = 2bari -barj+bark , barb=bari+2barj-bark , barc=bari+barj-2b...

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  4. The triangle ABC is defined by the vertices A =(0,7,10), B = (-1,6,6) ...

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  5. In the Parallelogram ABCD, bar(AC)^(2)-bar(BD)^(2) =

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  6. The bot r bisecting plane of the line segment joining the points (3,1,...

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  7. The vector equation of the plane which contains the point (1,1,8) and ...

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  8. The perpendicular distance from origin to the plane passing through th...

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  9. Find the cartesian equation of the plane through the point A (2,-1,-4)...

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  10. The cartesian equation of the plane passing through (1,1,1) and contai...

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  11. The vector equation of the plane through the point (1,1,-1) and passin...

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  12. Let A = (bari-barj+3bark), B=(3bari+3barj+3bark) " be two points and "...

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  13. Angle between the line barr = (-bari+3barj+3bark)+t(2bari+3barj+6bark)...

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  14. If 3bari+4barj+5bark is P.V. of one end of a diameter of the sphere a...

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  15. The force barF = 2bari+2barj-bark " acting at " bara =bari-2barj+bark ...

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  16. A particle is acted upon by constant forces 4bari+barj-3bark and 3bari...

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  17. Three forces having magnitudes 5,4 and 3 units act on a particle in th...

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  18. Which of the following statements is are correct Statement -I : For ...

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  19. If bar a and bar b are two unit vectors inclined at an angle alpha to ...

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  20. Assertion (A) : bara,barb,barc and bard are the position vectors of fo...

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