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

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

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