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

Q1:

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

Q2:

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

Q3:

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

Q4:

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

Q5:

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

Q6:

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

Q7:

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

Q8:

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

Q9:

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

Q10:

Which of the following are the parametric equations of the line through point π΄ ( β 1 0 , 2 ) with a direction perpendicular to vector β π’ = ( β 8 , 8 ) ?

Q11:

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

Q12:

Find the parametric equations of the straight line 3 π₯ β 7 β 9 = 8 π¦ β 3 4 = β 8 β 6 π§ β 9 .

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