Chapters

### Vector Form If P(x1, y1, z1) is a point on the line r and the vector has the same direction as , then it is equal to multiplied by a scalar:   ### Parametric Form  ### Cartesian Equations A line can be determined by the intersection of two planes. ### Examples

1.Find the equations of the line that pass through the point A = (1, 2, 1) and whose direction vector is .

## Parametric Form  The best Maths tutors available
1st lesson free!  4.9 (26 reviews)
Intasar
£36
/h
1st lesson free!  5 (17 reviews)
Matthew
£25
/h
1st lesson free!  4.9 (13 reviews)
Paolo
£25
/h
1st lesson free!  4.9 (7 reviews)
Dr. Kritaphat
£49
/h
1st lesson free!  5 (28 reviews)
Ayush
£60
/h
1st lesson free!  4.9 (9 reviews)
Petar
£27
/h
1st lesson free!  5 (14 reviews)
Farooq
£40
/h
1st lesson free!  5 (9 reviews)
Tom
£22
/h
1st lesson free!  4.9 (26 reviews)
Intasar
£36
/h
1st lesson free!  5 (17 reviews)
Matthew
£25
/h
1st lesson free!  4.9 (13 reviews)
Paolo
£25
/h
1st lesson free!  4.9 (7 reviews)
Dr. Kritaphat
£49
/h
1st lesson free!  5 (28 reviews)
Ayush
£60
/h
1st lesson free!  4.9 (9 reviews)
Petar
£27
/h
1st lesson free!  5 (14 reviews)
Farooq
£40
/h
1st lesson free!  5 (9 reviews)
Tom
£22
/h

## Cartesian Equations   2.Find the equations of the line that pass through the points A = (1, 0, 1) and B = (0, 1, 1).     3.Given the line r: Find its equations in parametric and Cartesian form.       4The equation of a line r is: Do the points A = (0, −2, −2) and B = (3, 2, 6) belong to the line r?  5.Find the equation of the line that is parallel to the lines given by x = 3λ, y = λ and z = 2λ + 2, and contains the point P(0, 1, −1).  6.A straight line is parallel to the planes x + y = 0 and x + z = 0. If it passes through the point (2, 0, 0), find its equation.

The direction vector of the line is perpendicular to the normal vectors of each plane.    Need a Maths teacher?

Did you like the article?     3.67/5 - 3 vote(s) Loading...

Emma

I am passionate about travelling and currently live and work in Paris. I like to spend my time reading, gardening, running, learning languages and exploring new places.