Qestion 2 a). Use vector projection to explain the distance in part (iii) equation b). find the distance between point (2,4,8) and the plane 2x+y+z=5.
Qestion 2 a). Use vector projection to explain the distance in part (iii) equation b). find the distance between point (2,4,8) and the plane 2x+y+z=5.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
Solve part B
![P
(ii)
(1) Distance between
į
→d=
(iii)
Topic:
P
Distance
S.
two points in IR ³:
distane
is the length of PS or
(x₂-x₁)² + (Y₂-Y₂)² + (7₁-7₁) ²
S
-57
Distance from a point S to a line Containing P
Parallel
to V.
d = | PS x V |
|VI
Distance
from
with normal vector n
P= (x₁, y₁, Z₁)
S = (x₂, Y₂, 7₂)
point S to a plane Containy P
egn of plane:
4(x-x)+ Bly-yo) + c(Z - 2₂) = 0
n = < A, B, C
distance =
from S
to plane
is I distance
IPS.1
E](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fadb2ffbc-8a27-4191-80c4-35036c567437%2F262fa699-d2c8-44b0-b931-fc1dad10c132%2Fvvj8o3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:P
(ii)
(1) Distance between
į
→d=
(iii)
Topic:
P
Distance
S.
two points in IR ³:
distane
is the length of PS or
(x₂-x₁)² + (Y₂-Y₂)² + (7₁-7₁) ²
S
-57
Distance from a point S to a line Containing P
Parallel
to V.
d = | PS x V |
|VI
Distance
from
with normal vector n
P= (x₁, y₁, Z₁)
S = (x₂, Y₂, 7₂)
point S to a plane Containy P
egn of plane:
4(x-x)+ Bly-yo) + c(Z - 2₂) = 0
n = < A, B, C
distance =
from S
to plane
is I distance
IPS.1
E
![Pestion 2
a). Use vector projection to explain the distance
in part (iii)
equation
b). find the distance between point (2,4,8) and the plane
2x+y+z=5.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fadb2ffbc-8a27-4191-80c4-35036c567437%2F262fa699-d2c8-44b0-b931-fc1dad10c132%2Fsf8l536_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Pestion 2
a). Use vector projection to explain the distance
in part (iii)
equation
b). find the distance between point (2,4,8) and the plane
2x+y+z=5.
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