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Shortest Distance between 2 Lines (Distance between 2 skew lines and distance between parallel lines) Video Lecture | Mathematics (Maths) Class 12 - JEE

204 videos|288 docs|139 tests

FAQs on Shortest Distance between 2 Lines (Distance between 2 skew lines and distance between parallel lines) Video Lecture - Mathematics (Maths) Class 12 - JEE

1. What is the shortest distance between two lines in 3D space?
Ans. The shortest distance between two lines in 3D space is the length of the perpendicular segment connecting the two lines.
2. How can I calculate the distance between two skew lines?
Ans. To calculate the distance between two skew lines, you can find the shortest distance between any point on one line and the other line. This can be done by finding the projection of the vector connecting the two lines onto a vector perpendicular to both lines.
3. Can two parallel lines have a distance between them?
Ans. No, two parallel lines do not have a distance between them. They are always equidistant from each other. The distance between parallel lines can be calculated by finding the length of a line segment connecting the two lines and perpendicular to both lines.
4. What is the formula for finding the distance between two parallel lines?
Ans. The formula for finding the distance between two parallel lines is given by dividing the magnitude of the cross product of the direction vectors of the two lines by the magnitude of one of the direction vectors.
5. Is the distance between two parallel lines always positive?
Ans. Yes, the distance between two parallel lines is always positive. The distance represents the length of the perpendicular segment connecting the two lines, and length is always positive.
204 videos|288 docs|139 tests

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