# Pre-Calculus-Vectors in a plane

I have ten multiple choice question (Vectors in a plane) ranging from true or false, to vector one is defined from (0,-1) to (4,0); vector two is defined from (3,2) to (7,4). Which of the following statements it true; to given the vectors u = <-3, 7> and v = <5,1>, find -½ u.
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Use the figure below and decide if the statement is true or false.
Vectors AB and CD are equivalent.
True
False
Use the figure below and decide if the statement is true or false.
Vectors AB and EF are equivalent.
True
False
Vector one is defined from (0,-1) to (4,0); Vector two is defined from (3,2) to (7,4). Which of
the following statements it true?
Vector 1 and Vector 2 have the same magnitude but different orientation.
Vector 1 and Vector 2 have the same magnitude and same orientation.
Vector 1 and Vector 2 have different magnitude and same orientation.
Vector 1 and Vector 2 have different magnitude and different orientation.
Given the vectors u = <-3, 7> and v = <5,1>, find -½ u
<-1, -4>
<-4, -1>
<3/2, -7/2>
<-3/2, 7/2>
Given the vectors u = <-3, 7> and v = <5,1>, find 3u + 2v
<1, 23>
<-1, 23>
<9, 4>
<-9, 4>
Evaluate the expression if u = <-3, 7> and v = <5,1>.
|| v – u ||
<8, -7>
<8, 7>
10
-10
What is the unit vector of: v: <-6, -8> ?

<-?, -?>

<-?, -?>
Given ||v|| = 5 ?=30 degrees, write the vector v
A) <532, 32>
B) <-532, 52>
C) <532, 32>
D) <532, 52>
A
B
C
D
A plane traveling 500 mph (called airspeed) in the direction 120 degrees encounters a wind
of 80 mph in the direction of 45 degrees
What is the resultant speed (called groundspeed) of the plane?
489.32
492.49
526.39
Cannot determine from information given.
A plane traveling 500 mph (called airspeed) in the direction 120 degrees encounters a wind
of 80 mph in the direction of 45 degrees
What is the resultant direction of the plane (in degrees)?
78.9
111.6
113.8
Cannot determine from information given.

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