# Exam

Exam

1.- The magnitude and the argument of the vector (1,-3) are:

 a) √10 and -71º33'54'' b) √10 and 108º26'6'' c) √2 and -71º33'54'' d) √2 and -108º26'6''

2.- If u(5,1) and v(3,-2), then u - 5v is:

 a) (20,-9) b) (-10,-9) c) (-10,11) d) (20,11)

3.- ...and u·v equals:

 a) 13 b) 17 c) -30 d) None of them

4.- If u(3,2) and (1,t). Calculate t to make u and v orthogonal

 a) t = -2/3 b) - 3 c) -1 d) -3/2

5.- u(5,1) and v(-10,-2)

 a) form a basis b) are linearly independent c) are linearly dependent d) form a generative system

6.- The general equation of the straight line that passes through the point (3,3), in the direction of the vector (-2,1) is:

 a) x + 2y - 9 = 0 b) x - 2y - 9 = 0 c) 2x + y - 9 = 0 d) None of them

7.- The lines

 a) Coincident lines b) Parallel lines c) Intersecting lines d) Perpendicular lines

8.- The family of parallel straight lines to

 a) x + y + k = 0 ; k€R b) y + k = 0 c) y + k = 0 ; k€R d) 2x + y + k = 0 ; k€R

9.- Which line of the straight lines that intersect r:x + y +1 = 0 in the point (0,-1), passes through the point (3,3)?

 a) 4x + 3y + 3 = 0 b) 4x - 3y + 3 = 0 c) 3x -4y -3 = 0 d) 4x - 3y -3 = 0

10.- The distance between the lines 3x + y - 5 = 0 and 3x - y + 10 = 0 is:

 a) 15 b) 0 c) 5 d) None of them

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