Vectors Basics

Question 1

Define vector

Answer 1

quantity that is determined by its magnitude and direction

Question 2

what is the magnitude of a vector

Answer 2

its length

Question 3

what is a scalar

Answer 3

a number

Question 4

what is a zero vector

Answer 4

a vector whos magnitude is 0 and who’s direction is undefined

Question 5

how do we show a vector is a vector when handwriting

Answer 5

underline (or arrow above)

Question 6

how do we show a vectors magnitude in handwriting

Answer 6

with a line either side ||

Question 7

two vectors are equal when

Answer 7

they have the same magnitude and direction

Question 8

what is the negative of a vector

Answer 8

same magnitude but different direction

Question 9

how do we show a negative vector in handwriting

Answer 9

minus sign before the vector

Question 10

if you multiply a vector by a positive scalar does its direction change

Answer 10

no

Question 11

if you multiply a vector by a negative scalar does its direction change

Answer 11

Yes, goes in opposite direction

Question 12

if you multiply a vector by 0, does its direction change

Answer 12

no, it becomes 0

Question 13

what is a displacement vector

Answer 13

the vector which goes from one point on a plane to another

Question 14

What is the x component of a vector

Answer 14

the change in x

Question 15

what is the y component of a vector

Answer 15

the change in y

Question 16

how to show vector addition on paper

Answer 16

parallelogram

Question 17

how to show vector addition on paper

Answer 17

triangle rule

Question 18

will multiplying a vector by a scalar change its magnitude

Answer 18

yes

Question 19

vectors with magnitude of 1 are called

Answer 19

unit vectors

Question 20

what can i represent

Answer 20

x component

Question 21

what can j represent

Answer 21

y component

Question 22

show the vector p in component form

Answer 22

pi + pj, (pi, pj)

Question 23

how are vectors in a 2D and 3D plane equal

Answer 23

when their corresponding components are equal

Question 24

too add vectors what do we do

Answer 24

add their corresponding components

Question 25

to find the negative of vectors what do we do

Answer 25

find the negatives of their corresponding components

Question 26

to subtract vectors what do we do

Answer 26

subtracts their corresponding components

Question 27

to multiply a vector by a scalar what do we do

Answer 27

multiply each component by the scalar

Question 28

how do we find the magnitude of a vector

Answer 28

squaring each component, adding answers, get square root of this answer

Question 29

proj_a X is said

Answer 29

projection of vector x onto vector a

Question 30

proj_a X formula

Answer 30

(vectorx • vetcora / ||a||^2 )vectora

Question 31

why is there no difference between a vector that lies on a plane and a vector that is parallel to the plaen

Answer 31

the location of vectors don’t matter only their magnitude and direction. So if two vectors have the same magnitude and direction but lie on different parts of the plane, they are still the same vector