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Read the following passage and answer th...

Read the following passage and answer the questions. Consider the lines
`L_(1) : (x+1)/(3)=(y+2)/(1)=(z+1)/(2)`
`L_(2) : (x-2)/(1)=(y+2)/(2)=(z-3)/(3)`
Q. The unit vector perpendicular to both `L-(1) and L_(2)` is

A

`(-hati+7hatj+7hatk)/sqrt(99)`

B

`(-hati-7hatj+5hatk)/(5sqrt(3))`

C

`(-hati+7hatj+5hatk)/(5sqrt(3))`

D

`(7hati-7hatj-hatk)/(sqrt(99))`

Text Solution

Verified by Experts

The correct Answer is:
B
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ML KHANNA-CO-ORDINATE GEOMETRY OF THREE DIMENSION-PROBLEM SET (3)
  1. If the lines x=ay +b, z=cy+d and x=a'y + b', z=c'y + d' are perpendi...

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  2. The lines (x-a+b)/(alpha-delta)=(y-a)/alpha=(z-a-d)/(alpha+delta), (...

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  3. If the straighat lines x=1+s,y=-3-lamdas,z=1+lamdas and x=t/2,y=1+t,z=...

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  4. If the line (x-1)/(2)=(y+1)/(3)=(z-1)/(4) and (x-3)/(1)=(y-k)/(2)=(z)/...

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  5. Consider the planes 3x-6y-2z=15a n d2x+y-2z=5. Statement 1:The parame...

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  6. The lines (x-2)/gamma=(y-4)/2=(z-5)/1 are coplaner ifgamma is

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  7. The line passing through the points (5,1,a) and (3,b,1) crosses the y...

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  8. If the straight lines (x-1)/k = (y-2)/2 =(z-3)/3 and (x-2)/3 = (y-3)...

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  9. Find the distance of a point (2,4,-1) from the line (x+5)/1=(y+3)/4=...

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  10. Distance of the point (x(1),y(1),z(1)) from the line (x-x(2))/1=(y-y(...

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  11. If a line makes angles alpha,beta,gamma with co-ordinate axes, then co...

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  12. The angle between the line (x+1)/3=(y-1)/2=(z-2)/4 and the plane 2x+y-...

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  13. If the angle theta between the line (x+1)/1=(y-1)/2=(z-2)/2 and the pl...

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  14. The angle between the lines 2x=3y=-z and 6x=-y=-4z is

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  15. The direction ratios of the line x-y+z-5=0=x-3y-6 are

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  16. A line with direction cosines proportional to 2,1,2 meet each of the l...

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  17. Read the following passage and answer the questions. Consider the line...

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  18. Consider the line L 1 : x 1 y 2 z 1 312 +++ ==, L2 : x2y2z3 123

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  19. The distance of the point (1,1,1) from the plane passing through the p...

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  20. Consider the following linear equations ax+by+cz=0 bx+cy+az=0 cx+...

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