Chapter 1: Vectors 

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Frames of reference

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21 Terms

1

Frames of reference

________ can be either inertial (non- accelerating) or non- inertial (accelerating)

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2

coordinate system

A(n) ________ is a mathematical system used to define the position of objects in space.

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3

vector

A(n) ________ is a mathematical quantity that has both magnitude and direction.

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4

choice of origin

The ________ (the point at which the axes intersect) can affect the position of objects in the coordinate system.

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5

The main difference between an scalar and a vector quantity is: A) Magnitude B) Direction C) Unit

B

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6

Vector A has length 4 units and directed to the north. Vector B has length 9 units and is directed to the south. Calculate the magnitude and direction of A + B . A) 13 units, south B) 5 units, north C) 13 units, north D) 5 units, south

D

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7

You walk 55 m to the north, then turn 60° to your right and walk another 45 m. How far are you from where you originally started? A) 87 m B) 50 m C) 94 m D) 46 m

A

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8

The main difference between a scalar and a vector quantity is: A) Magnitude B) Direction C) Unit

B

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9

Which formula can be used to find the angle of the resultant vector?

tantheta= Ry/Rx

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10

The components of a vector are the parts of the vectors that are to each other.

perpendicular

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11

A resultant vector is the of two or more vectors.

sum

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12

Two vectors, X and Y, form a right angle. Vector X is 48 inches long and vector Y is 14 inches long. The length of the resultant vector is ____ inches.

50

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13

Which equation represents the Pythagorean theorem, which can be used to find the magnitude of resultant vectors? R = A + B, R = A x B, R2 = A2 x B2, or R2 = A2 + B2

R2 = A2 + B2

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14

A helicopter flies 250 km on a straight path in a direction 60° south of east. The east component of the helicopter's displacement is ⇒

125 km

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15

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

They form a 90 degree angle.

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16

Used in vector resolution to find the adjacent component of a vector

Used in vector resolution to find the adjacent component of a vector

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17

sine function

Used in vector resolution to find the opposite component of a vector

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18

Used in combining component vectors to find the angle (direction) of the resultant vector

tangent function

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19

vector resolution

the process of breaking down a single vector into component vectors that are at right angle to each other.

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20

component addition

the process of combining similar axial components using simple addition or subtraction. The components must be parallel.

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21

method used to recombine component sums or vectors that are perpendicular to one another.

Pythagorean Theorem

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