could you pls solve the following  1 a)  In three-space, find the intersection point of the two lines or classify the system: [x, y, z] = [3, -4, 5] + t[2, 1, -1] and [x, y, z] = [1, -5 ,6] + u[6, 3, -3].   Question a) options:   (0, -2, 2)   (5, 2, –1)   (2, -4, –1)   (-1, 2, 7)   parallel and distinct   coincident   skew b) In three-space, find the intersection point of the two lines or classify the system: [x, y, z] = [2, -1, 7] + t[2, 5, 10] and [x, y, z] = [4, -21 ,6] + u[-1, 11, 8.5].   Question b) options:   (3, 1, 1)   (–2, 8, –3)   (5, 2, –2)   (3, –5, 0)   parallel and distinct   coincident   skew

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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could you pls solve the following 

1 a) 

In three-space, find the intersection point of the two lines or classify the system:

[xyz] = [3, -4, 5] + t[2, 1, -1] and

[x, y, z] = [1, -5 ,6] + u[6, 3, -3].

 

Question a) options:

 

(0, -2, 2)

 

(5, 2, –1)

 

(2, -4, –1)

 

(-1, 2, 7)

 

parallel and distinct

 

coincident

 

skew

b)

In three-space, find the intersection point of the two lines or classify the system:

[xyz] = [2, -1, 7] + t[2, 5, 10] and

[x, y, z] = [4, -21 ,6] + u[-1, 11, 8.5].

 

Question b) options:

 

(3, 1, 1)

 

(–2, 8, –3)

 

(5, 2, –2)

 

(3, –5, 0)

 

parallel and distinct

 

coincident

 

skew

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