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If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)...

If the lines `(x-1)/(-3)=(y-2)/(2k)=(z-3)/(2)` and `(x-1)/(3k)=(y-1)/(1)=(z-6)/(-5)` are perpendicular, find the value of k.

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The correct Answer is:
`k=(-10)/(7)`
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BETTER CHOICE PUBLICATION-THREE DIMENSIONAL GEOMETRY -ASSIGNMENT MOST IMPORTANT QUESTIONS FOR PRACTICE (SECTION IV) Short Answer Type Questions
  1. Find the angle between the pairs of line r=3hat(i)+2hat(j)-4hat(k)+lam...

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  2. Find the angle between the following lines vec(r)=3hat(i)+hat(j)-2ha...

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

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  4. Find the angle between the following lines (x-5)/(1)=(2y+6)/(-2)=(z-...

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  5. Find the angle between the following lines (5-x)/(3)=(y+3)/(-2),z=5 ...

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  6. Find the angle between the pairs of line with direction ratios lt5,-...

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  7. Find the angle between the lines whose direction ratios are a, b, c an...

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  8. Show that the following lines are perpendicular (x-3)/(2)=(y+1)/(-3...

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  9. Show that the following lines are perpendicular (-x+2)/(-2)=(y-1)/(...

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  10. If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/(2) and (x-1)/(3k)=(y-1)/(1)=...

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  11. Find the value of lamda of the following pair of lines are perpendicul...

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  12. Find the value of lamda of the following pair of lines are perpendicul...

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  13. Find the value of lamda of the following pair of lines are perpendicul...

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  14. The angle between the lines whose direction cosines are given by the ...

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  15. If a line makes angles 30°,60° and 90° with x,y and z-axis respectivel...

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  16. Find the angle between the two lines whose direction cosines are given...

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  17. Find the equation of a line passing through the point P(2,-1,-3) and p...

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

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