[x 1+t 5. Determine the distance between the point (4, 3, 2) and the plane y 2+s z = 3+5+t a. 3.69 units b. 1.45 units c. 2.01 units d. 2.89 units x = 2+t x 3+5+t 6. Determine the distance between the line y 5-t and the plane y 2-s-t. Z = -4 [z = 1 +s-t 2.33 units b. 5.12 units c. 1.41 units d. 0.34 units a. 7. Determine the distance between the line [x, y, z] = [4,5, -2] + [1, 1, -1] and the plane [x, y, z] = [2, 4, 3] + s[3, 2, 0] + t[1, 0, 2]. a. 3.48 units b. 9.11 units c. 7.22 units d. 1.60 units

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.6: Equations Of Lines And Planes
Problem 2E
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Please answer all of them I will give a like.

[x = 1+t
5. Determine the distance between the point (4, 3, 2) and the plane y = 2+s
%3D
[z = 3+5+t
a. 3.69 units
b. 1.45 units
c. 2.01 units
d. 2.89 units
[x = 2+t
x = 3+s+t
6. Determine the distance between the line {y = 5-t and the plane {y = 2-s-t.
[z = -4
z = 1+s-t
c. 1.41 units
d. 0.34 units
а.
2.33 units
b. 5.12 units
7. Determine the distance between the line [x, y, z] = [4, 5, –2] + t[1, 1, -1] and the plane [x, y, z] = [2, 4, 3]
+ s[3, 2, 0] + t[1, 0, 2].
c. 7.22 units
d. 1.60 units
а.
3.48 units
b. 9.11 units
Transcribed Image Text:[x = 1+t 5. Determine the distance between the point (4, 3, 2) and the plane y = 2+s %3D [z = 3+5+t a. 3.69 units b. 1.45 units c. 2.01 units d. 2.89 units [x = 2+t x = 3+s+t 6. Determine the distance between the line {y = 5-t and the plane {y = 2-s-t. [z = -4 z = 1+s-t c. 1.41 units d. 0.34 units а. 2.33 units b. 5.12 units 7. Determine the distance between the line [x, y, z] = [4, 5, –2] + t[1, 1, -1] and the plane [x, y, z] = [2, 4, 3] + s[3, 2, 0] + t[1, 0, 2]. c. 7.22 units d. 1.60 units а. 3.48 units b. 9.11 units
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