( ( (
In space with an orthonormal reference (o ;i ; j ; k) we consider the points
A (4 ; 0 ; 0), B (0 ; 3 ; 0) , C (0 ; 0 ; 6) and M (1 ; 3 / 2 ; 3 / 2) and the point I ( ( Is midpoint of [AC] and L such that 3BL = BC.
1) Place the points A, B, C and I. 2) Prove that points A, B and C form a plan. 3) Prove that points A, M and L are aligned. 4) Show that the point M belongs to the plane ABC.
Are the points A (2; - 3; 0) and B (6; 5; - 4) in the space provided with an ( ( ( orthonormal reference ( o ; i ; j ; k ).
2.1) I is the midpoint of [AB] Calculate his coordinates.
( ( (
In space with an orthonormal reference (o ;i ; j ; k) we consider the points A,B and
C with these coordinates : A (2 ;1 ;- 5) , B(5 ;- 3 ;- 5) and C(2 ;1 ;7).
( ( 1) Show that the vectors AB and AC are orthogonal. 2) What is the nature of the triangle ABC ? 3) Calculate the air of the triangle ABC. 4) Let H be the point of [BC] such that (AH) and (BC) are perpendicular. Calculate AH as an irreducible fraction.
4) We consider the points in space B (0 ; 6 ; 0) and C (3 / 2 ; 3 ; 3) . Determine the coordinates of K which is the intersection of the line (BC) with the basic plan (xoz).
Sir ji ye aakhri question to khaas kar key ziada masla peda kar raha hai wesey (xoz) means that y=0 kyu ke normal to (xyz) plan hota