Q19 of 34 Page 11

Find the shortest distance between the lines

and .[CBSE 2018]

Let,


and


∴ =



∴ = = 

We know by the formula that,

Shortest distance =


= units.

More from this chapter

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17

Find the coordinates of the point where the line through the points A(3, 4, 1) and B(5, 1, 6) crosses the XZ plane. Also find the angle which this line makes with the XZ plane.[CBSE 2016]

 18

Find the equation of plane passing through the points A (3, 2, 1), B (4, 2, - 2) and C(6, 5, - 1) and hence find the value of for which A (3, 2, 1), B(4, 2, - 2), C(6, 5, - 1) and are coplanar

OR


Find the co - ordinates of the point where the line meets the plane which is perpendicular to the vector and at a distance of from origin[CBSE 2016]

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Find the distance of the point (–1, –5, –10), from the point of intersection of the line and the plane [CBSE 2011]

 21

If the lines and are perpendicular, find the value of k and hence find the equation of the plane containing these lines.[CBSE 2012]