I)\ The angle between

(:2,1,-1:)

and

(:2,1,5:)

is:\ (A) obtuse\ (B) acute\ (C) a right angle\ II)

,(:3,4,1:)\\\\times (:1,2,3:)

is equal to:\ (A)

(:10,-8,2:)

\ (B)

(:-10,8,-2:)

\ (C)

(:10,-8,-2:)

\ III)\

f(x,y)=(1)/(\\\\sqrt(x^(2)+y^(2)-1))

is continuous at any point in

R^(2)

that is:\ (A) outside the circle

x^(2)+y^(2)=1

\ (B) inside the circle

x^(2)+y^(2)=1

\ IV)\ Which of these points is NOT on the line

r(t)=(:6+5t,4+3t,2+t:)

?\ (A)

(6,4,2)

\ (B)

(5,3,1)

\ (C)

(11,7,3)

\ V) For the surface

2x^(2)-3y+4z^(2)=4

, the trace in the

xz

plane is:\ (A) an ellipse\ (B) a parabola\ (C) a hyperbola\ VI) Which best describes the space curve

r(t)=(:2sin(\\\\pi t),5,2cos(\\\\pi t):)

?\ (A) a spiral\ (B) a line segment\ (C) a circle

I) The angle between 2,1,1 and 2,1,5 is: (A) obtuse (B) acute (C) a right angle II) 3,4,11,2,3 is equal to: (A) 10,8,2 (B) 10,8,2 (C) 10,8,2 III) f(x,y)=x2+y211 is continuous at any point in R2 that is: (A) outside the circle x2+y2=1 (B) inside the circle x2+y2=1 IV) Which of these points is NOT on the line r(t)=6+5t,4+3t,2+t ? (A) (6,4,2) (B) (5,3,1) (C) (11,7,3) V) For the surface 2x23y+4z2=4, the trace in the xz plane is: (A) an ellipse (B) a parabola (C) a hyperbola VI) Which best describes the space curve r(t)=2sin(t),5,2cos(t) ? (A) a spiral (B) a line segment (C) a circle