1 answer

1. For each of the following statements, declare whether the statement is true or false, (a)...

Question:

1. For each of the following statements, declare whether the statement is true or false, (a) A system of four linear equation

1. For each of the following statements, declare whether the statement is true or false, (a) A system of four linear equations in three unknowns cannot have a solution. (b) 3.x + 3y - 2z = 0 is the equation of a plane through the origin in R', with normal vector (3,3. -2) (c) It is possible to determine if two lines in R3 intersect by solving an appropriate system of linear equations. (a) Find the parametric equation of the line in R3 in the direction v = (2.1.3) and containing the point P = (-1.3.1). Find the angle between the vectors P and u. (b) Find the parametric equation of the line in R3 containing the points (0.-2.1) and (2.1.6). At what point does this line intersect the 142-plane? (c) Find the parametric equation of the line 3y = 10. in RP

Answers

♡ @ A system of four linear equations in timee onknowne cannot have a souton, FALSE, 6 3x + 3y - 22=0 is the equation of a st

P = Ginen point = P = (-1,3,4) and direction vector av (2,1,37 We know the vector equation form is → on not to butting values© Two Sivcu points one + AC0,-2,1) and B (2,1167 from A and B points we can define a vecho am 12,3,5) o Ⓡ and point =P ( 0, -

Givern line equation 44 34 = 10 a) 343 -7 10 :) yo -Źxt to matte and intercept of ☺ is 6,1 If we write min vector form, we ge

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