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Find the Cartesian and vector eqauations of a plane passing through the point (1,2,-4) and parallel to the lines `(x-1)/2=(y-2)/3=(z+1)/6` and `(x-1)/1=(y+3)/1=z/-1`.

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RS AGGARWAL-THE PLANE-Exercise 28G
  1. Find the angle between the line vecr = (hati +2hatj -hatk ) +lambda (h...

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  2. Find the angle between the line vecr=(2hati-hatj+3hatk)+lambda(3hati-h...

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  3. Find the angle between the line vecr.(3hati+hatk)+lambda(hatj+hatk) an...

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

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  5. Find the angle between the line (x+1)/2=y/3=(z-3)/6and the plane 10 ...

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  6. Find the anlge between the line joining the points A(3,-4,-2) and B(12...

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  7. If the plane 2x-3y-6z=13 makes an angle sin^(-1) with the x-axis, then...

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  8. Show that the lne vecr=(2hati+5hatj+7hatk)+lambda(hati+3hatj+4hatk) is...

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  9. Find the value of m for which the line vecr.=(hati+2hatk)+lambda(2hati...

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  10. Find the vector equation of a lie passing through the origin perpendic...

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  11. Find the vector equation of the line passing through the point with po...

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  12. Show that the equation ax+by+d=0 represents a plane parallel to the z-...

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  13. Find the equation of the plane passing through the points (1,2,3) and ...

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  14. Find the equation of a plane passing through the point (2,-1,5), perpe...

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  15. Find the equation of the plane passing through the intersection of the...

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  16. Find the vector and Cartesian equations of the plane passing through t...

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  17. Find the vector and Cartesian quations of the plane passing through th...

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  18. Find the vector equation of a plane passing through the point (1,2,3) ...

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  19. Find the Cartesian and vector eqauations of a plane passing through th...

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  20. Find the vector equation of the plane passing through the point (3hati...

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