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Flashcards in Vectors Basics Deck (31)
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1

Define vector

quantity that is determined by its magnitude and direction

2

what is the magnitude of a vector

its length

3

what is a scalar

a number

4

what is a zero vector

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

5

how do we show a vector is a vector when handwriting

underline (or arrow above)

6

how do we show a vectors magnitude in handwriting

with a line either side ||

7

two vectors are equal when

they have the same magnitude and direction

8

what is the negative of a vector

same magnitude but different direction

9

how do we show a negative vector in handwriting

minus sign before the vector

10

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

no

11

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

Yes, goes in opposite direction

12

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

no, it becomes 0

13

what is a displacement vector

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

14

What is the x component of a vector

the change in x

15

what is the y component of a vector

the change in y

16

how to show vector addition on paper

parallelogram

17

how to show vector addition on paper

triangle rule

18

will multiplying a vector by a scalar change its magnitude

yes

19

vectors with magnitude of 1 are called

unit vectors

20

what can i represent

x component

21

what can j represent

y component

22

show the vector p in component form

pi + pj, (pi, pj)

23

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

when their corresponding components are equal

24

too add vectors what do we do

add their corresponding components

25

to find the negative of vectors what do we do

find the negatives of their corresponding components

26

to subtract vectors what do we do

subtracts their corresponding components

27

to multiply a vector by a scalar what do we do

multiply each component by the scalar

28

how do we find the magnitude of a vector

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

29

proj_a X is said

projection of vector x onto vector a

30

proj_a X formula

(vectorx • vetcora / ||a||^2 )vectora