Lines in Space
Topic Page
Lines in Space
Questions

What is the symmetric equation of a line in threedimensional space?

How do I find an equation of the line that passes through the points #(2, 1, 3)# and #(1, 4, 3)#?

What is meant by the parametric equations of a line in threedimensional space?

How do I know if two lines are parallel in threedimensional space?

How do I know if two lines are perpendicular in threedimensional space?

Given two points in 3D space, such as #A(x_1,y_1,z_1)# and #B(x_2,y_2,z_2)#, what would be the equation of the line that connects those points?

How do I find the slope of a line through two points in three dimensions?

How do I find the slope of #(1, 2, 3)# and #(3, 4, 5)#?

How do I determine whether a line is in a given plane in threedimensional space?

How do I find the intersection of two lines in threedimensional space?

Consider the line which passes through the point P(1, 1, 4), and which is parallel to the line x=1+7t, y=2+3t, z=3+3t How do you find the point of intersection of this new line with each of the coordinate planes?

How do you find a vector parametric equation for the line through the points P= (0,4,3) and Q=(5,4,1)?

What is the vector representation, parametric equations and rectangular equations for the line through the points P(3,2,1) and Q(1,2,4)?

Can two planes intersect in exactly one point?

Find the vector equation of the line perpendicular to the vectors #3bb(ulhati)4bb(ul hatj)+bb(ul hatk)# and #2bb(ul hatj)+3bb(ul hatk)#?