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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:)
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
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