Solution for QID #14210: Task 4 Equations of one of sides of the rhombus x — 3y | StudyHelpMe

Task 4 Equations of one of sides of the rhombus x — 3y+ 10 = 0 and one of its diagonals is x + 4y — 4 = 0. Diagonals of the rhombus intersect at the point P(0; 1). Find the equation of other three sides of the rhombus. Task 5. a) Find vectors: a =2AD-3BC+ DE; b = AC-2AB+CE; 8 =3AE-2BD+2BE. b) Check: is it possible to choose a triple of the vectors a , b , & as a basis? Expand the vector AC by the vectors a , b , c. c) For what a and B the vector p=ai +37 -Bk is collinear to c? d) Find the angle between the vectors a and b. e) In the triangle ABC find: i) area of the triangle ABC; ii) internal angle A and external angle C; iii) altitude, drawn from the vertex C. f) Check: are the vectors AB, BD and CE complanar? g) Find the volume of the ABCD pyramid, if the points A, B, C and D do not lie in the same plane (otherwise take ABCE); if