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Consider the planes 3x-6y-2z=15a n d2x+y...

Consider the planes `3x-6y-2z=15a n d2x+y-2z=5.` Statement 1:The parametric equations of the line intersection of the given planes are `x=3+14 t ,y=2t ,z=15 tdot` Statement 2: The vector `14 hat i+2 hat j+15 hat k` is parallel to the line of intersection of the given planes.

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Consider the planes 3x-6y-2z-15=0 and 2x+y-2z-5=0 Statement 1: The parametric equations of the line intersection of the given planes are x=3+14t,y=2t,z=15t .Statement 2: The vector 14hat i+2hat j+15hat k is parallel to the line of intersection of the given planes.

If t is a parameter, then the line of intersection of the planes 3x-6y-2z=15and2x+y-2z=5 is

A plane P passes through the line of intersection of the planes 2x-y+3z=2,x+y-z=1 and the point (1,0,1). What are the direction ratios of the line of intersection of the given planes ?

A plane P passes through the line of intersection of the planes 2x-y+3z=2.x+y-z=1 and the point (1,0,1) What are the direction ration of the line of intersection of the given planes

Find the equation of the plane passing through the intersection of the planes vec rdot( (hat i+ hat j+ hat k)=1\ a n d\ vec rdot((2 hat i+3 hat j- hat k)+4=0 and parallel to x-axis.

The angle between (hat i+hat j+hat k) and line of the intersection of the plane 2x+y+4z=0 and 3x+4y+z=0 is

What is the point of intersection of the line x = y = z with the plane x + 2y + 3z = 6 ?

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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