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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