- #1
yanyin
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explain how you go about finding the shortest distance between 2 non-parallel lines (i.e. skew lines).
for example:
x=3-2t, y=1-4t, z = t and (x+2)/3=y+1=(z+1)/-2
for example:
x=3-2t, y=1-4t, z = t and (x+2)/3=y+1=(z+1)/-2
Skew lines are two lines that do not intersect and are not parallel. They lie in different planes and are not in the same direction.
To determine if two lines are skew, you can use the dot product of their direction vectors. If the dot product is equal to zero, the lines are perpendicular and therefore not skew. If the dot product is not equal to zero, the lines are skew.
No, by definition, skew lines do not intersect. They can only be parallel or intersecting.
To find the shortest distance between two skew lines, you can use the cross product of their direction vectors to find the shortest distance between their closest points. This will give you the distance between the two lines along the shortest path.
Yes, the formula is: d = |(a1 - a2) * (b1 x b2)| / |b1 x b2|, where a1 and a2 are points on the first line, b1 and b2 are direction vectors of the first and second lines, and x represents the cross product.