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The perpendicular distance from origin t...

The perpendicular distance from origin to the plane passing through the points
`2bari -2barj +bark, 3bari +2barj-bark, 3bari -barj-2bark` is

A

`12/(sqrt(30))`

B

`25/(sqrt(110))`

C

`10/(sqrt(60))`

D

`15/(sqrt(187))`

Text Solution

Verified by Experts

The correct Answer is:
B
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AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-EXERCISE -II
  1. The position vectors of the three non-collinear points A, B, C, are ba...

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

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

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

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

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

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

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

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  9. 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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  10. The three concurrent edges of a parallelopiped represents the vectors ...

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

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

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

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

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

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

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

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

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  19. If veca =2bari+3barj,vecb =bari+barj+bark and vecc=lamdabari+4barj+2ba...

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  20. If the volume of parallelopiped with conterminus edges 4hati+5hatj+hat...

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