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If the vectors bara = (1,x,-2), barb = (...

If the vectors `bara = (1,x,-2), barb = (x,3,-4)` are mutually perpendicular, then x =

A

-2

B

2

C

4

D

-4

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The correct Answer is:
A
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If bara, barb are two unit perpendicular vectors then baraxx (baraxx barb) =

Let bara = bari+barj+bark and barb =2bari+3barj+bark . Find The vector components of barb " in the direction " bara " and perpendicular to that of " bara .

Show that the vectors bara - 2barb + 3barc,- 2bara + 3barb - 4barc and bara - 3barb + 5barc are coplanar, where a, b, c are non- coplanar vectors.

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AAKASH SERIES-DOT PRODUCT OF TWO VECTORS-EXERCISE - II
  1. Find the cartesian equation of the plane through the point A (2,-1,-4)...

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

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

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

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

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

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

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

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

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

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

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

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  13. If a,b and c are vectors with magnitudes 2,3 and 4 respectively then t...

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  14. If, absbara = 3, absbarb = 4 abs(bara+barb) = 1 " ,then " abs(bara-bar...

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  15. If the vectors bara = (1,x,-2), barb = (x,3,-4) are mutually perpendic...

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  16. If bara = -bari+2barj+3bark, barb = bari -2barj+bark, barc = 4bari-3ba...

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  17. If 'theta' is an acute angle and the vector (sin theta)bari +(cos thet...

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  18. If bara.(barb+barc) = barb.(barc+bara) = barc.(bara+barb) =0 and absba...

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  19. If bara+barb+barc=bar0 and absbara=3, absbarb = 4, absbarc =sqrt37, " ...

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  20. If the angle theta between the vectors bara = 2x^(2)bari +4xbarj+bark ...

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