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The cartesian equations of line is : (...

The cartesian equations of line is :
`(x - 1)/(2) = (y - 2)/(3) = (z -3)/(4)`.
Write the vector equation.

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The correct Answer is:
`vec(r) = (hati + 2 hatj + 3 hatk) + lambda ( 2 hati + 3 hatj + 4 hatk)`
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MODERN PUBLICATION-THREE DIMENSIONAL GEOMETRY -OBJECTIVE TYPE QUESTIONS (D. VERY SHORT ANSWER TYPE QUESTIONS )
  1. If a line makes angle 90^(@) and 60^(@) respectively with positively d...

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  2. Find the direction-cosines of the line (x - 1)/(2) = - y = (z + 1)/...

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  3. Write the vector equation of the line : (x - 5)/(3) = (y + 4)/(7) = ...

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  4. The cartesian equations of line is : (x - 1)/(2) = (y - 2)/(3) = (z ...

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  5. Find the vector equation of the line which passes through the point (3...

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  6. Find the length of the perpendicular drawn from the point P (3, -4, 5)...

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  7. The equation of a line given by (4-x)/3=(y+3)/3=(z+2)/6dot Write the d...

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  8. Find the cartesian equation of the line which passes through the poin...

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  9. Find the acute angle between the plane : vec(r). (hati - 2hatj - 2 h...

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  10. Write the equation of the plane passing through (a , b , c) and parall...

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

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  12. Find the vector equation of a plane which is at a distance of 5 units...

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  13. Find the vector equations of the plane whose cartesian form of equatio...

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  14. Find the cartesian equation of the plane vec(r). (2 hati + 3 hatj - 4 ...

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  15. What are the direction-cosines of the normal to the plane 3x + 2y - 3z...

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  16. Find the direction-cosines of the perpendicular from the origin to the...

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  17. Find the the distance of a point (2,5, -3) from the plane vec(r).(6 ha...

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  18. Find the value of 'k' for which the plane : 3x - 6y - 2z = 7 and 2x...

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  19. Write the vector equation fo the line passing through the point (1,-2,...

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  20. Write the equation of a plane which is at a distance of 5sqrt(3) units...

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