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Write the value of k for which the line ...

Write the value of `k` for which the line `(x-1)/2=(y-1)/3=(z-1)/(k)` is perpendicular to the normal to the plane ` vec rdot((2 hat i+3 hat j+4 hat k)=4.`

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The vector equation of the plane through the point hat(i)+2hat(j)-hat(k) and perpendicular to the line of intersection of the plane rcdot(3hat(i)-hat(j)+hat(k))=1 and rcdot(hat(i)+4hat(j)-2hat(k))=2 , is

RD SHARMA ENGLISH-THE PLANE -All Questions
  1. Write the equation of the plane containing the lines vec r= vec a+lam...

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  2. Write the position vector of the point where the line vec r= vec a+la...

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  3. Write the value of k for which the line (x-1)/2=(y-1)/3=(z-1)/(k) is p...

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  4. Write the intercept cut off by the plane 2x+y-z=5 on x-axis.

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  5. Find the length of the perpendicular drawn from the origin to the p...

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  6. Write the vector equation of the line passing through the point (1, -2...

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  7. Write the vector equation of the plane passing through the point (a, b...

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  8. The acute angle between the planes 2x-y+z=6\ a n d\ x+y+2z=3 is 45^0\ ...

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  9. The equation of the plane through the point of intersection of plane x...

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  10. The distance between the planes 2x+2y-z+ 2=0\ a n d\ 4x+4y-2z+5=0 is a...

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  11. The image of the point (1, 3, 4) in the plane 2x-y+z+3=0 is (3,\ 5,\ 2...

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  12. Find the vector equation of the following plane in scalar product form...

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  13. The distance of the line vec r=2 hat i-2 hat j+3 hat k+lambda( hat i-...

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  14. The equation of the plane through the line x+y+z+3=0=2x-y+3z+1 and par...

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  15. The vector equation of the plane containing the line vec r=(-2 hat ...

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  16. A plane meets the coordinate axes at A ,\ B ,\ C such that the centroi...

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  17. The distance between the point (3,4, 5) and the point where the line (...

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  18. A vector parallel to the line of intersection of the planes vec r=dot...

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  19. If plane passes through the point (1, 1,1) and is perpendicular to the...

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  20. The equation of the plane parallel to the lines x-1=2y-5=2z and 3x = 4...

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