Vectors — Quiz Answers

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4

In order to use the Pythagorean theorem to find the magnitude of a resultant vector, which must be true regarding the two initial vectors?

A
They form a 90 degree angle.
B
They are equal in magnitude.
C
They have the same directions.
D
They are parallel to one another.
5

Suppose two initial vectors intersect at a right angle and form a resultant vector. The magnitudes of one initial vector, cap A , and the resultant vector, cap r , are given. Which formula can be used to find the magnitude of the other initial vector, cap b ?

A
cap b squared is equal to cap A plus cap r
B
cap b squared is equal to cap A squared minus cap r squared
C
cap b squared is equal to cap r squared plus cap A squared
D
cap b squared is equal to cap r squared minus cap A squared
6

The angle a vector makes with the x -axis of a coordinate system must be what size in order to make one or more of its components negative?

A
between 30 and 60 degrees
B
between 61 and 90 degrees
C
less than 30 degrees
D
greater than 90 degrees
7

Question text not available

Answer:

perpendicular

8

Assuming motion is on a straight path, what would result in two positive components of a vector?

A
a boat moving south of west at an angle of 40 degrees
B
a car moving south of west at an angle of 10 degrees
C
a bus moving north of east at an angle of 95 degrees
D
a train moving north of east at an angle of 25 degrees
9

In order to use the Pythagorean theorem to find the magnitude of a resultant vector, which must be true regarding the two initial vectors?

A
They are equal in magnitude.
B
They have the same directions.
C
They are parallel to one another.
D
They form a 90 degree angle.
10

The angle a vector makes with the x -axis of a coordinate system must be what size in order to make one or more of its components negative?

A
less than 30 degrees
B
greater than 90 degrees
C
between 30 and 60 degrees
D
between 61 and 90 degrees

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Vectors — Quiz Answers — Physics