For the system consisting of the two planes:plane 1: -x + y + z = 0plane 2: 3x + y + 3z = 0a) Are the planes parallel and/or coincident? Justify your answer. What does this tell you about the solution to the system?b) Solve the system (if possible). Show a complete solution. If there is a line of intersection express it in parametric form.

For the system consisting of the two planes:plane 1: -x + y + z = 0plane 2: 3x + y + 3z = 0a) Are the planes parallel and/or coincident? Justify your answer. What does this tell you about the solution to the system?b) Solve the system (if possible). Show a complete solution. If there is a line of intersection express it in parametric form.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter10: Measurement, Area, And Volume

Section10.2: Polygons And Quadrilaterals

Problem 1E

See similar textbooks

Similar questions

Determine if the statement is true or false. If the statement is false, then correct it and make it true. It is possible for a system of two equations and two variables whose graphs are a hyperbola and an ellipse to have exactly five real ordered pair solutions.
Find a system of two equations in two variables, x1 and x2, that has the solution set given by the parametric representation x1=t and x2=3t4, where t is any real number. Then show that the solutions to the system can also be written as x1=43+t3 and x2=t.
Use a system of linear equation to find the parabola y=ax2+bx+c that passes through the points (1,2), (0,1) and (2,6)
Find a system of two equations in three variables, x1, x2 and x3 that has the solution set given by the parametric representation x1=t, x2=s and x3=3+st, where s and t are any real numbers. Then show that the solutions to the system can also be written as x1=3+st,x2=s and x3=t.
A city is described parametrically by the equation r = (ai + bj+ck) + svi + tv₂ where v₁ = 3i+j+ k and v₂ = i +4j-7 k A city block is a rectangle determined by ₁ and 2. East is in the direction of ₁ and north is in the direction of 2. Starting at the point (a, b, c), you walk 1 block east, 4 blocks north, 3 blocks west and 3 blocks south. (a) What are the parameters of the point where you end up? t = 9. (b) What are the coordinates at that point? I= y = z =
Find the equation where the planes 2x - 3y + z = 5 and x +y -z = 2 intersect. Write step by step.
Find an equation of the plane