Unit 3.G

Question 1

an object that has both a magnitude and a direction

Answer 1

vector

Question 2

what is a vector

Answer 2

a vector is an object that has both magnitude and direction

Question 3

the length is the?

Answer 3

magnitude of the vector

Question 3

with an arrow indicating the?

Answer 3

direction

Question 4

The direction of the vector is from its ______ to its _____

Answer 4

tail, head

Question 5

examples of vectors

Answer 5

displacement. velocity, force, and acceleration

Question 6

a quantity that has magnitude but not direction is called a

Answer 6

scalar quantity

Question 7

examples of scalar quantity

Answer 7

time and mass

Question 8

scalar quantity for force

Answer 8

magnitude

Question 9

scalar quantity for velocity

Answer 9

speed

Question 10

A _______ in the plane is the ray (a line segment with an arrow at one end) with the assigned direction

Answer 10

vector

Question 11

Two vectors are considered _____________ if they have equal magnitude and the same
direction.

Answer 11

equal vectors

Question 12

The numbers x and y are the ______________________.

Answer 12

components of the vector

Question 13

The set of all ordered pairs of the form ⟨x, y⟩ is

Answer 13

V2

Question 14

The representation where the initial
point is at the origin is called the _____________________________ of the vector

Answer 14

position representation

Question 14

A _____________ correspondence exists between the vectors ⟨x, y⟩ in the plane and the points (x, y) in the plane.

Answer 14

one-to-one

Question 15

A _____________ is a vector of zero magnitude

Answer 15

zero vector

Question 16

________________ is commutative

Answer 16

vector addition

Question 17

The vector u+v or vector v+u is called
the ____________________ of adding vectors u and
v

Answer 17

resultant vector

Question 18

This rule of the commutativity of vector addition is known as the?

Answer 18

parallelogram law

Question 19

A vector of length 1 is called a

Answer 19

unit vector

Question 20

The ________________ of any nonzero vector is the angle θ measured from the positive side of the x-axis counterclockwise to the position representation of the vector.

Answer 20

direction angle

Question 21

if a1 = 0 and a2 > 0, the theta would be

Answer 21

pi over 2

Question 22

if a1 = 0 and a2 < 0, the theta would be

Answer 22

3pi over 2

Question 23

The dot product is not a

Answer 23

vector

Question 23

The dot product is a

Answer 23

real number or a scalar