Practice Shortest Distance (D) Between Skew Lines - 7.1 | Chapter 6: Three Dimensional Geometry | ICSE Class 12 Mathematics
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define skew lines.

πŸ’‘ Hint: Think about what makes lines parallel.

Question 2

Easy

What is a direction vector?

πŸ’‘ Hint: It's the vector form of how a line extends.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What defines skew lines?

  • They intersect
  • They are parallel
  • They do not intersect nor are they parallel

πŸ’‘ Hint: Consider how two lines can relate in space.

Question 2

True or False: The shortest distance between two skew lines is always a straight line segment.

  • True
  • False

πŸ’‘ Hint: Think about the geometry of three-dimensional space.

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Challenge Problems

Push your limits with challenges.

Question 1

Given two skew lines A: (2, 3, 1) + t(1, 2, 1) and B: (1, 0, 2) + s(0, 1, 0), calculate the shortest distance between them.

πŸ’‘ Hint: Break down the calculations step-by-step to avoid confusion.

Question 2

Two skew lines are defined by the equations L1: (1, 1, 1) + t(2, -3, 1) and L2: (4, 0, 3) + s(1, -2, 0). Calculate their shortest distance.

πŸ’‘ Hint: Ensure to determine the appropriate vectors for calculations.

Challenge and get performance evaluation