Berapa jarak antara (-2, -1, -7) dan (11,5, -3)?

Menjawab:

# sqrt221 ~~ 14.87 "ke 2 tempat Desember" #

Penjelasan:

# "Menggunakan versi 3 dimensi dari" color (blue) "formula jarak" #

# d = sqrt ((x_2-x_1) ^ 2 + (y_2-y_1) ^ 2 + (z_2-z_1) ^ 2) #

# "let" (x_1, y_1, z_1) = (- 2, -1, -7) "dan" #

# (x_2, y_2, z_2) = (11,5, -3) #

# d = sqrt ((11 + 2) ^ 2 + (5 + 1) ^ 2 + (- 3 + 7) ^ 2) #

#color (white) (d) = sqrt (169 + 36 + 16) = sqrt221 ~~ 14.87 #

Menjawab:

# AB = sqrt (221) #

Penjelasan:

Kami tahu itu, Jika # AinRR ^ 3 dan BinRR ^ 3 # lalu jarak antara

#A (x_1, y_1, z_1) dan B (x_2, y_2, z_2) #, aku s

# AB = | vec (AB) | = sqrt ((x_2-x_1) ^ 2 + (y_2-y_1) ^ 2 + (z_2-z_1) ^ 2) #

Dimana, #vec (AB) = (x_2-x_1, y_2-y_1, z_2-z_1) #.

Kita punya, #A (-2, -1, -7) danB (11,5, -3) #

Begitu, # AB = sqrt ((11 + 2) ^ 2 + (5 + 1) ^ 2 + (- 3 + 7) ^ 2) #

# AB = sqrt (169 + 36 + 16) #

# AB = sqrt (221) #