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Find the vector equation of the plane pa...

Find the vector equation of the plane passing through the intersection of the planes `barr.(bari +barj+bark) = 6 and barr. (2bari+3barj+bark) = -5 " and the point " (1,1,1)`.

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Find the vector equation of the plane passing through the intersection of the planes barr.(2bari +2barj-3bark) = 7, barr. = (2bari+5barj+3bark) = 9 " and through the point " (2,1,3) .

Find the equation of the plane passing through the line of intersection of the planes barr.(bari+barj+bark) =1 and barr.(2bari+3barj-bark)+4 =0 and parallel to X-axis.

Find the equation of the plane passing through (a,b,c) and parallel to the plane barr.(bari+barj+bark) =2 .

Equation of the plane passing through the point (3,4,5) and parallel to the plane barr.(2bari+barj-bark)=6 is

The vector equation of the plane through the point (1,1,-1) and passing through the line of intersection of the planes barr.(bari+3barj-bark) = 0 and barr.(barj+2bark) =0 is

The angle between the planes barr.(2bari+barj+bark)=5, (bari-barj+2bark)=3 is

The radius of the sphere (barr-2bari+3barj-bark). (barr+3bari-barj+2bark)=0 is

AAKASH SERIES-DOT PRODUCT OF TWO VECTORS-PRACTICE EXERCISE
  1. Find the vector equation of the plane passing through the intersection...

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  2. If barmu =bara-barb, barv=bara+barb and absbara=absbarb, " then " barm...

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  3. If bara,barb,barc " are unit vectors such that " bara+barb+barc=bar0, ...

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  4. The angle made by the vector 2bari+3barj+6bark " with X-axis is " cos^...

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  5. If bara,barb are two vectors of length 2, 1 respectively and abs(bara-...

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  6. If absbara = 3, absbarb =4 and (bara,barb)=(2pi)/3 , " then the value ...

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  7. Let bare(1) and bare(2) be unit vectors which include an angel theta....

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  8. If bara+barb+barc =bar0 , " then " bara.bara+barb.barb+2(bara.barb)-ba...

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  9. If absbara =5, absbarb =4, absbarc =3 and bara+barb+barc = bar0 ," the...

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  10. If bara,barb,barc are three vectors of equal magnitude and angle betw...

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  11. absbara=absbarb=absbarc=abs(bara+barb+barc)=1 and bara bot barb , (bar...

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  12. If bara,barb,barc are three vector such that each is inclined at an a...

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  13. The scalar product of the vector bari+barj+bark " with the unit vector...

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  14. The angle between the vectors bara and barb " is " 60^(@). " The the a...

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  15. The vectors barx and bary " satisfy " 2barx +bary =barp and barx+2bary...

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  16. Let bara,barb,barc " be unit vectors and " barx=bara+barb+barc . " I...

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  17. If abs(bara+barb)lt abs (bara-barb) " then the angle between " bara an...

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  18. If a,b,c are p^(th),q^(th),r^(th) " terms of an H.P and " baru=(q-r...

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  19. If bara,barb,barc " are three mutually perpendicular vectors such that...

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  20. If the angle between the vectros (x,3,-7) and (x,-x,4) is acute, then ...

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  21. The value of c so that all real 'x' the vectors cxbari - 6barj+3bark, ...

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