Chapters

## Exercise 1

Determine the equations of the coordinate axes and the coordinate planes. The best Maths tutors available
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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
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## Exercise 2

Determine the equation of the plane that contains the lines:  ## Exercise 3

Determine the equation of the plane that contains the point A = (2, 5, 1) and the line: ## Exercise 4

Find the intersecting point between the plane x + 2y − z − 2 = 0, the line determined by the point (1, −3, 2) and the vector .

## Exercise 5

Determine, in intercept form, the equation of the plane that passes through the points A = (2, 0, 0), B = (0, 4, 0) and C = (0, 0, 7).

## Exercise 6

π is a plane that passes through P = (1, 2, 1) and intersects the positive coordinate semi-axes at points A, B and C. If ABC is an equilateral triangle, determine the equations of π.

## Exercise 7

Find the equation of the plane that passes through the point P = (1, 1, 1) and is parallel to: ## Exercise 8

Determine the equation of the plane that contains the line and is parallel to the line .

## Exercise 9

Calculate the equation of the plane that passes through the point (1, 1, 2) and is parallel to the following lines: ## Solution of exercise 1

Determine the equations of the coordinate axes and the coordinate planes.            ## Solution of exercise 2

Determine the equation of the plane that contains the lines:    ## Solution of exercise 3

Determine the equation of the plane that contains the point A = (2, 5, 1) and the line:    ## Solution of exercise 4

Find the intersecting point between the plane x + 2y − z − 2 = 0, the line determined by the point (1, −3, 2) and the vector .   ## Solution of exercise 5

Determine, in intercept form, the equation of the plane that passes through the points A = (2, 0, 0), B = (0, 4, 0) and C = (0, 0, 7). ## Solution of exercise 6

π is a plane that passes through P = (1, 2, 1) and intersects the positive coordinate semi-axes at points A, B and C. If ABC is an equilateral triangle, determine the equations of π.  As the triangle is equilateral, the three line segments are equal.   ## Solution of exercise 7

Find the equation of the plane that passes through the point P = (1, 1, 1) and is parallel to:    ## Solution of exercise 8

Determine the equation of the plane that contains the line and is parallel to the line .

The point A = (2, 2, 4) and the vector belong to the plane because the line is in the plane.

The vector is a vector in the plane because it is parallel to the line.  ## Solution of exercise 9

Calculate the equation of the plane that passes through the point (1, 1, 2) and is parallel to the following lines:      Need a Maths teacher?

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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.