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In the Parallelogram ABCD, bar(AC)^(2)-b...

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

A

`4bar(AB). ("projection of " bar(AD) " on " bar(AB))`

B

`2bar(AB). ("projection of " bar(AD) " on " bar(AB))`

C

`bar(AB). ("projection of " bar(BD) " on " bar(AC))`

D

`2bar(AC). ("projection of " bar(BD) " on " bar(AC))`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-DOT PRODUCT OF TWO VECTORS-PRACTICE EXERCISE
  1. Let bara =bari+2barj+bark, barb=bari-barj+bark, barc=bari+barj-bark. A...

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  2. The foot of the perpendicular drawn from a point with position vector ...

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

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  4. The vector equation of the plane which is perpendicular to 2bari+3barj...

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  5. The cartesian equation of the plane which is at distance of 10 unit fr...

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  6. Vector equation of the plane through the origin and perpendicular to ...

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  7. The angle between the planes barr.(2bari+barj+bark)=5, (bari-barj+2ba...

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  8. If the planes 3x+4y+mz-26=0, 4x-3y-z-1=0 are perpendicular, then m =

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  9. If A =(1,3,-5), B=(3,5,-3) then the vector equation of the plane passi...

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  10. The cartesian equation of the plane passing through (-2,1,3) and perpe...

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  11. Equation of the plane passing through the point (3,4,5) and parallel t...

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  12. Vector equation of the plane to which the vector bari+barj " normal, a...

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  13. The perpendicular distance from origin to the plane barr.(2bari+3barj+...

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  14. The cartesian equation of the plane passing through (3,4,-11) and para...

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  15. If the lines L(1) and L(2) " are given by " barr=(bari+2barj-bark)+t(2...

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  16. The cosine of the angle between the lines barr=(3bari+2barj-4bark+t(ba...

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  17. The work done by the force barF = 2bari-3barj-2bark in moving a partic...

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  18. If forces of magnitude 6 and 7 units acting in the direction bari-2bar...

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  19. The work done by the force barF = abari+barj+bark in moving a particle...

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  20. The value of a, for which the points A,B,C with position vectors 2bari...

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