Chapter 1: Vectors

Frames of reference

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

coordinate system

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

vector

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

choice of origin

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

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

B

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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

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

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

B

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

tantheta= Ry/Rx

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

perpendicular

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A resultant vector is the of two or more vectors.

sum

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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

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

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

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

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

sine function

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

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

tangent function

vector resolution

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

component addition

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

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

Pythagorean Theorem