Question

what is the distance between point A and B ?

Answer 1

start with figuring out the coordinates of A and B

Answer 2

point A is (2,2,3) I believe

Answer 3

point B is (3,2,8) im not sure

Answer 4

ha you have it almost correct... lets do it step by step

Answer 5

from origin, A is 2 units along x, 3 units along y, 2 units along z
so coordinates of A is (2, 3, 2)

Answer 6

from origin, B is 5 units along x, 7 units along y, 2 units along z
so coordinates of B is (5, 7, 2)

Answer 7

is that right, ? can u check in the fig and confirm... .

Answer 8

yes that seems right

Answer 9

great ! now we just use the distance between two points formula ?

Answer 10

which is ?

Answer 11

distance between points \(A(x1, y1, z1)\) and \(B(x2, y2, z2)\) =

\(\sqrt{(x2-x1)^2 + (y2-y1)^2 + (z2-z1)^2}\)

Answer 12

I don't understand how im supposed to plug in the numbers

Answer 13

ok i can teach u that

Answer 14

A : (2, 3, 2)
B : (5, 7, 2)

Answer 15

these are our coordinates, right ?

Answer 16

yes

Answer 17

A : (2, 3, 2) --> (x1, y1, z1)
B : (5, 7, 2) --> (x2, y2, z2)

Answer 18

plugin the corresponding numbers in formula :
\(\sqrt{(x2-x1)^2 + (y2-y1)^2 + (z2-z1)^2}\)

\(\sqrt{(5-2)^2 + (7-3)^2 + (2-2)^2}\)

Answer 19

yes! that's what I have.
3^2 + 4^2 + _________ im not sure about the last one

Answer 20

\(\sqrt{(3)^2 + (4)^2 + (0)^2}\)

\(\sqrt{9 + 16}\)

Answer 21

it would be 25

Answer 22

would it be a simple 5 or 5 square rooted ?

Answer 23

u forgot about the squareroot !

Answer 24

\(\sqrt{9 + 16}\)

\(\sqrt{25}\)

5

Answer 25

okay got it thanks ! let me try the next one

Answer 26

great ! good luck !