# 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 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

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