1. Let a> and b> be vectors in the plane such that a-> 0 b-> = 1. Which one of the following statements is false: a) a> and b> cannot be perpendicular to each other. b) a> and b> must be unit vectors....

1. Let a> and b> be vectors in the plane such that a-> 0 b-> = 1.
Which one of the following statements is false:
a) a> and b> cannot be perpendicular to each other.
b) a> and b> must be unit vectors.
c) if a>= b-> then a>= (cos 0, sin 9) for some angle 0, 0

d) either 'la-> II > 1 or 1
e) 1ia>11 1.
2. The position vector at time t > 0 of a point moving in the plane is r (t) = . The 122mi of the point when t = 7 seconds is
a) V 1 + 72 d) J Y(1 - 7)2 + 1 b) 4 e) Vg--- 1 - 7,- el 2 c) , 1 + 7
3. At time t the position vector of an electron moving in the plane is r (t) = . The curvature of the electron's path at
t = r/4 is
a) 1/2 b) 1/3 c) 1/V-2 d) 3 2V-1- e) 26-3)