Practice Parametric Form - 5.1 | 7. 3D Geometry | (IB) Class 10 Mathematics – Group 5, Geometry & Trigonometry
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5.1 - Parametric Form

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Write the parametric equations for a line passing through the point P(0, 0, 0) in the direction of the vector (1, 1, 1).

💡 Hint: Use the components of the direction vector.

Question 2

Easy

What is the value of t at point (3, 3, 3) for the line represented by x = 1 + t, y = 1 + t, z = 1 + t?

💡 Hint: Plug the coordinates into the equations to solve for t.

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 does the parameter t represent in the parametric form of a line?

  • The distance from point P0
  • A variable representing different points on the line
  • The slope of the line

💡 Hint: Think about how it relates to different points along the line.

Question 2

True or False: The directional vector can be a zero vector.

  • True
  • False

💡 Hint: Consider what happens if there's no movement in the direction.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

You have a line passing through point P(3, -2, 5) with a directional vector (4, -1, 2). Write the parametric equations and find the coordinates at t = 5.

💡 Hint: Calculate for all three coordinates using t = 5.

Question 2

Explain how moving dynamically along a parametric line can represent realistic movement in animations or simulations.

💡 Hint: Think about how time influences position in animations.

Challenge and get performance evaluation