Vectors

Question 1

Vector

Answer 1

line w/ an initial point (tail/A) and a terminal end (tip/B)

Question 2

Vector Symbol

Answer 2

AB w a line over or u with a line over; <a,b,c>;<x2-x1, y2-y1, z2 -z1>

Question 3

Magnitude/Length symbol

Answer 3

|AB| or |u|

Question 4

How to find magnitude/length

Answer 4

distance formula

Question 5

2 ways to add 2 vectors

Answer 5

Triangle approach or parallelegram

Question 6

Triangle Approach

Answer 6

move one vector up so tail touches tip, forming a triangle

Question 7

Parallelegram vector adding

Answer 7

put the tails together (going in opp directions) and create a vector down the middle

Question 8

How to subtract 2 vectors

Answer 8

change direction of one vector

Question 9

Standard Basis Vectors (SBV)

Answer 9

referrng to vectors as letter i, j, and k

Question 10

X axis vector = <1, 0, 0>

Answer 10

i

Question 11

Y axis vector = <0, 1, 0>

Answer 11

j

Question 12

Z axis vector = <0, 0, 1>

Answer 12

k

Question 13

Unit vector

Answer 13

vector of length one ( |u|=1)

Question 14

How to make a normal vector into a unit vector

Answer 14

divide all the vector elements by the length ( u= v/|v|)