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Find the equation of the plane passing t...

Find the equation of the plane passing through the intersection of the planes `3x – y + 2z - 4 = 0` and `x + y + z-2 = 0` and the point (2, 2, 1). 

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The correct Answer is:
`7x - 5y + 4z - 8 = 0`
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ARIHANT PUBLICATION-THREE-DIMENSIONAL GEOMETRY-Chapter Practice
  1. Write the condition for the lines vec(r) = vec(a)(1) + lambda vec(b)(1...

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  2. Find the equation of the plane passing through the point(-1,-1, 2) and...

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

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  4. Find the vector and cartesian equation of the line passing through the...

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  5. Find the vector equation of the plane determined by the points A(3,-1,...

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  6. Find the coordinates of the point where the line through the points A(...

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  7. Find the point of intersection of the line (x-2)/(1) = (y+2)/(3) = (z-...

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  8. Find the vector and cartesian equations of line passing through the po...

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  9. Find the foot of the perpendicular from (1,6, 3) on the line (x)/(1) =...

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  10. Prove the following by vector method. Measure of the angle between two...

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  11. Find the shortest distance between the lines vec(r) = 6hat(i) + 2hat(j...

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  12. Find the shortest distance between the lines vec(r) = (hat(i) + 2hat(j...

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  13. Find the shortest distance between the lines x +1 = 2y = -12z and x = ...

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  14. Write the vector equations of the following lines and hence determine ...

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  15. Show that the lines vec(r) = 3hat(i) + 2hat(j) - 4hat(k) + lambda(hat(...

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  16. Find the coordinates of the point, where the line (x+1)/(2) = (y+2)/(3...

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  17. Find the cartesian equation of the plane passing through the points A(...

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  18. Find the vector equation of the plane passing through the intersection...

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  19. write the direction cosine of the line whose direction ratios are{1,2,...

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  20. Find the value of k for which the following lines are perpendicular to...

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