Lesson: Parametric Equations of a Straight Line in Space

In this lesson, we will learn how to find the parametric equations of a straight line in space.

Worksheet: 12 Questions

Q1:

Write the equation of the straight line 𝐿 passing through the points 𝑃 = ( 4 , 1 , 5 ) 1 and 𝑃 = ( 2 , 1 , 3 ) 2 in parametric form.

Q2:

Which of the following are the parametric equations of the line through point 𝐴 ( 8 , 8 ) with a direction perpendicular to vector 𝑢 = ( 6 , 7 ) ?

Q3:

Find the parametric equations of the straight line 3 𝑥 7 9 = 8 𝑦 3 4 = 8 6 𝑧 9 .

Q4:

Give the parametric equation of the line on point ( 2 , 4 , 4 ) , with direction vector ( 1 , 1 , 5 ) .

Q5:

Determine the parametric equations of the straight line passing through the points ( 3 , 3 , 4 ) and ( 5 , 2 , 4 ) .

Q6:

Which of the following are the parametric equations of the line through point 𝐴 ( 7 , 8 ) with a direction perpendicular to vector 𝑢 = ( 1 0 , 4 ) ?

Q7:

Which of the following are the parametric equations of the line through point 𝐴 ( 1 , 5 ) with a direction perpendicular to vector 𝑢 = ( 2 , 1 ) ?

Q8:

Which of the following are the parametric equations of the line through point 𝐴 ( 9 , 1 0 ) with a direction perpendicular to vector 𝑢 = ( 2 , 3 ) ?

Q9:

Which of the following are the parametric equations of the line through point 𝐴 ( 6 , 3 ) with a direction perpendicular to vector 𝑢 = ( 6 , 1 0 ) ?

Q10:

Which of the following are the parametric equations of the line through point 𝐴 ( 5 , 7 ) with a direction perpendicular to vector 𝑢 = ( 8 , 2 ) ?

Q11:

Which of the following are the parametric equations of the line through point 𝐴 ( 7 , 1 0 ) with a direction perpendicular to vector 𝑢 = ( 6 , 1 ) ?

Q12:

Which of the following are the parametric equations of the line through point 𝐴 ( 8 , 9 ) with a direction perpendicular to vector 𝑢 = ( 6 , 1 ) ?

Preview Download

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.