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If a1,b1,c1 and a2,b2,c2 are the directi...

If `a_1,b_1,c_1` and `a_2,b_2,c_2` are the direction ratios of two lines , then write the condition of its perpendicularity.

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MAXIMUM PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXAMPLE
  1. Consider the planes 2x+y-2z=5 and 3x-6y-2z=7.Find their normal vectors...

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  2. Consider the planes 2x+y-2z=5 and 3x-6y-2z=7 Find the angle bet...

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  3. If a1,b1,c1 and a2,b2,c2 are the direction ratios of two lines , then ...

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  4. Find the angle between the lines (x+3)/3=(y-1)/5=(z+3)/4 and (x+1)...

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  5. Find the shortest distance between the lines barr=i+j+lambda(2i-j+k) a...

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  6. The equation of the line which passes through the point (1,2,3) and pa...

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  7. Find the angle between the pair lines barr=2i-5j+k+lambda(3i+2j+6k) ...

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  8. Consider the lines (x-3)/2=(y-1)/5=(z+3)/4 and (x+5)/1=(y+2)/1=(z-3)...

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  9. Consider the lines (x-3)/2=(y-1)/5=(z+3)/4 and (x+5)/1=(y+2)/1=(z-3)...

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  10. Find the vector equation of the Plane Passing through the intersection...

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  11. Express the vector equation barr.(5i+3j+4k)=0 of a Plane in Cartesian ...

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  12. Given the plane 5x-2y+4z-9=0 Find the foot of the perpendicular draw...

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  13. Given the plane 5x-2y+4z-9=0 Find the foot of the perpendicular draw...

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  14. The foot of the perpendicular from the origin to a plane is P(4,-2,5)....

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  15. The foot of the perpendicular from the origin to a plane is P(4,-2,5)....

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  16. Consider the lines (x-3)/3=(y-8)/-1=(z-3)/1 and (x+3)/3=(y+7)/2=(z-6...

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  17. Consider the lines (x-3)/3=(y-8)/-1=(z-3)/1 and (x+3)/3=(y+7)/2=(z-6...

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  18. Consider the Cartesian equation of a line (x-3)/2=(y+1)/3=(z-5)/-2 F...

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  19. Consider the Cartesian equation of a line (x-3)/2=(y+1)/3=(z-5)/-2 F...

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  20. The foot of the perpendicular drawn from origin to a Plane is (4,-2,5)...

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