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Find the equation of the plane through t...

Find the equation of the plane through the point `(3,-2,2)` and perpendicular to the vector `(4,7,-4)`.

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Find the equation of the plane passing through the point (3,-2,1) and perpendicular to the vector (4,7,-4)

Find the equation of the plane passing through the point (2,3,4) and perpendicular to the x-axis.

Find the Cartesian equation of the plane passing through the point (-2,1,3) and perpendicular to the vector 3bar(i) + bar(j) + 5bar(k) .

A : The vector equation of the plane passing through the point (2,-1,-4) and perpendicular to the vector 4i - 12j - 3k is [r - (2i - j - 4k)]. (4i - 12j - 3k) = 0 R : the vector equation of the plane passing through the point a and perpendicular to the vector m is (r - a) m = 0

Find the equation of the plane passing through (2,3,4) and perpendicular to x-axis.

Find the equation of the plane passing through the point A=(3,-2,-1) and parallel to the vector vecb=veci-2vecj+4veck and vecc=3veci+2vecj-5veck .

AAKASH SERIES-DOT PRODUCT OF TWO VECTORS-PRACTICE EXERCISE
  1. Find the equation of the plane through the point (3,-2,2) and perpendi...

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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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