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The shortest distance between the lines `(x-3)/(3)=(y-8)/(-1)=(z-3)/(1)and(x+3)/(-3)=(y+7)/(2)=(z-6)/(4)` is

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If the shortest distance between the lines (x-1)/(1)=(y-1)/(1)=(z-1)/(1) and (x-2)/(1)=(y-3)/(1)=(z-4)/(1) is equal to sqrt(K) unit, then the value of K is -

The shortest distance between the lines (x)/(2) = (y)/(2) = (z)/(1) and (x + 2)/(-1) = (y -4)/(8) = (z -5)/(4) lies in the interval

Find the distance between the lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x)/(2)=(y-5)/(3)=(z+1)/(4)

Statement 1: The shortest distance between the lines x/(-3)=(y-1)/1=(z+1)/(-1)a n d(x-2)/1=(y-3)/2=((z+(13//7))/(-1)) is zero. Statement 2: The given lines are perpendicular.

The angle between the lines (x+1)/(3)=(y-2)/(-2)=(z+4)/(1) and (x-3)/(1) =(2y-3)/(5)=(z-2)/(2) is -

Find the shortest distance between the lines (x-1)/2=(y-2)/3=(z-3)/4a n d(x-2)/3=(y-4)/4=(z-5)/5 .

Find the shortest distance between the lines (x-1)/2=(y-2)/3=(z-3)/4 and x/2=(y-5)/3=(z+1)/4

The angle between the straight lines (x-4)/(2)=(y-5)/(0)=(z-6)/(0) and (3-x)/(3)=(y-7)/(0)=(z-3)/(0) is -

Find the angle between the lines (x-7)/(2)=(y-6)/(3)=(z+2)/(-4) and (2-x)/(-1)=(y-9)/(5)=(z-12)/(4) .

The lines (x)/(1)=(y)/(2)=(z)/(3) and (x-1)/(-2)=(y-2)/(-4)=(3-z)/(6) are

CENGAGE PUBLICATION-THREE DIMENSIONAL GEOMETRY-All Questions
  1. Given vec alpha=3hati+hatj+2hatk and vec beta=hati-2hatj-4hatk are the...

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  2. Find the following are equations for the plane passing through the p...

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  3. The shortest distance between the lines (x-3)/(3)=(y-8)/(-1)=(z-3)/(1)...

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  4. L1a n dL2 are two lines whose vector equations are L1: vec r=lambda((c...

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  5. Value of lambda such that the line (x-1)/2=(y-1)/3=(z-1)/lambda is | t...

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  6. Equation of the plane passing through the points (2,2,1)a n d(9,3,6)...

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  7. The equation of a plane which passes through the point of intersection...

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  8. If the foot of the perpendicular from the origin to plane is P(a ,b ...

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  9. Equation of a line in the plane pi =2x-y+z-4=0 which is perpendicular...

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  10. The intercept made by the plane vec r . vec n=q on the x-axis is a. q...

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  11. The coordinates of the foot of the perpendicular drawn from the orig...

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  12. The point on the line (x-2)/1=(y+3)/(-2)=(z+5)/(-2) at a distance of 6...

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  13. Let A( vec a)a n dB( vec b) be points on two skew lines vec r= vec a+...

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  14. Consider three planes P1 : x-y + z = 1, P2 : x + y-z=-1 and P3 : x-3y ...

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  15. Consider the planes 3x-6y-2z-15 =0 and 2x+y-2z - 5=0 Statement 1:The ...

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  16. The length of projection of the line segment joining the points (1,0,-...

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  17. If P1:vec r.vecn1-d1=0 P2:vec r.vec n2-d2=0 and P3:vec r.vecn3-d3=0 ar...

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  18. Perpendiculars are drawn from points on the line (x+2)/2=(y+1)/(-1)=z...

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  19. The point P is the intersection of the straight line joining the point...

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  20. A line l passing through the origin is perpendicular to the lines l1: ...

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