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A parallogram constructed on the vector `bar(a) =3barp-barq and bar(b)=barp+3barq` angle between given that mod p and mod q = 2, p and q = pi/3, " then the length of the diagonal " is

A

`4sqrt7`

B

`3sqrt7`

C

`2sqrt7`

D

`sqrt7`

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The correct Answer is:
A
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AAKASH SERIES-DOT PRODUCT OF TWO VECTORS-EXERCISE - II
  1. ABC is an equitateral triangle of side 'a'. Then bar(AB).bar(BC)+bar...

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  2. In Delta ABC , angleABC=90^(@). If P and Q are points of trisection o...

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  3. A parallogram constructed on the vector bar(a) =3barp-barq and bar(b)...

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  4. The length of the projection of the vector (1,-2,-1) on the vector joi...

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  5. The magnitude of the projection of the vector bara=4bari-3barj+2bark o...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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