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The position vectors of the three non-co...

The position vectors of the three non-collinear points A, B, C, are `bara, barb, barc` respectively. The distance of the origin from the plane through A, B, C is

A

`[bara barb barc]`

B

`(abs([bara barb barc]))/([baraxxbarb+barbxxbarc+barcxxbara])`

C

`abs(([bara barb barc])/(baraxxbarb+barbxxbarc+barcxxbara))`

D

`2[bara barb barc]`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-EXERCISE -II
  1. Vector equation of the plane passing through the line barr =bara+ alph...

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  2. The vectors equation of the plane which is per-pendicular to 2bari -3b...

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  3. The position vectors of the three non-collinear points A, B, C, are ba...

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  4. The distance between the line barr=2bari-2barj+3bark+lamda(bari-barj...

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

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  6. The shortest distance between the lines whose equations are barr = t...

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  7. The shortest distance between the lines through the points (2, 3, 1), ...

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  8. The lines barr =bara+ tbarb, barr = barc + bart^(1)bard are coplanar i...

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  9. Observe the following, choose correct answer : Assertion(A): The lin...

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  10. The equation of the plane containing the lines barr = bara+ tbarb and ...

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  11. Let bara=a(1)bari+a(2)barj+a(3)bark,barb=b(1)bari+b(2)barj+b(3)barkbar...

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  12. The three concurrent edges of a parallelopiped represents the vectors ...

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  13. The shortest distance between the skew lines barr=(bari+3barj+3barK)+t...

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  14. If x, y, z are non-zero real numbers, bara=xbari+2barj,bara=ybarj+3bar...

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  15. The angle between the lines barr=(2bari-3barJ+k)+lamda(bari+4barj+3k...

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  16. If bara=2bari +bark, barb=bari +barj+bark, barc=4bari-3barj+7bark then...

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  17. If bara,barb,barc are three vectors such that absbara =1, absbarb = ...

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  18. [(baraxxbarb)xx(baraxxbarc)].bard=k[bara barb barc] then k=

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  19. If bara=2bari-3barj+5bark,barb=3bari-4barj+5bark and barc = 5bari - 3b...

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  20. The shortest distance between the skew line (x-3)/(-1) =(y-4)/(2)=(z+2...

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