1) The orthogonal vectors u and V of the following are a) u = (1,0,1) and v= (0,1,1) b) u (3,0,-1) and v = = (2,2,1) c) u = (1,1,1) and v = (-1,-1,-1) d) u = (-2,1,5) and v = (-1,3, −1) 2) The unit vector in the direction from the point P(-4,1,2) to the point Q (2,3,-1) is a) (6,2,-3) b) (−6, —2,3) c) (6,-2,3) d) (6,2,3) 3) Which of the following points lies on the line L: x = 1-t, y = 2 + 3t, z = 5+ 2t? a) (1,2,4) b) (3,-4,1) c) (0,5,3) d) (-1,2,9)
1) The orthogonal vectors u and V of the following are a) u = (1,0,1) and v= (0,1,1) b) u (3,0,-1) and v = = (2,2,1) c) u = (1,1,1) and v = (-1,-1,-1) d) u = (-2,1,5) and v = (-1,3, −1) 2) The unit vector in the direction from the point P(-4,1,2) to the point Q (2,3,-1) is a) (6,2,-3) b) (−6, —2,3) c) (6,-2,3) d) (6,2,3) 3) Which of the following points lies on the line L: x = 1-t, y = 2 + 3t, z = 5+ 2t? a) (1,2,4) b) (3,-4,1) c) (0,5,3) d) (-1,2,9)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![Q1. In the following multiple choice questions, circle the correct answer.
1) The orthogonal vectors u and V of the following are
u = (1,0,1) and v = (0,1,1)
(2,2,1)
b) u = (3,0, -1) and v=
d) u = : (-2,1,5) and v = (-1,3,-1)
u= (1,1,1) and v = = (-1,-1,-1)
2) The unit vector in the direction from the point P(-4,1,2) to the point Q (2,3,-1) is
a) (6,2,-3)
b) (-6,-2,3)
c) (6,-2,3)
d) (6,2,3)
3) Which of the following points lies on the line L: x = 1-t, y = 2 + 3t, z = 5+ 2t?
a) (1,2,4)
b) (3,-4,1)
c) (0,5,3)
d) (-1,2,9)
4) Which of the following vectors is parallel to the line L: x = 1 -t, y = 2 + 3t, z = 5 + 2t?
a) (1,2,5)
b) (2,6,4)
c) (-2,6,4)
d) (1,3,2)
5) Which of the following points lies on the plane 2x − 3y + z = 12?
a) (2,1,5)
b) (-2,1,5)
c) (-2,-1,5)
d) (2,-1,5)
6) Which of the following vectors is normal to the plane 2x - 3y + z = 12?
a) (2,-1,5)
b) (2, -3,1)
c) (0,0,12)
d) (1,3,2)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F99b0b6bb-ac0b-425b-9a6a-e7b00c6aa3d5%2F9a665ec3-8b2f-4e5d-b5d3-682895e52641%2F89q5qf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q1. In the following multiple choice questions, circle the correct answer.
1) The orthogonal vectors u and V of the following are
u = (1,0,1) and v = (0,1,1)
(2,2,1)
b) u = (3,0, -1) and v=
d) u = : (-2,1,5) and v = (-1,3,-1)
u= (1,1,1) and v = = (-1,-1,-1)
2) The unit vector in the direction from the point P(-4,1,2) to the point Q (2,3,-1) is
a) (6,2,-3)
b) (-6,-2,3)
c) (6,-2,3)
d) (6,2,3)
3) Which of the following points lies on the line L: x = 1-t, y = 2 + 3t, z = 5+ 2t?
a) (1,2,4)
b) (3,-4,1)
c) (0,5,3)
d) (-1,2,9)
4) Which of the following vectors is parallel to the line L: x = 1 -t, y = 2 + 3t, z = 5 + 2t?
a) (1,2,5)
b) (2,6,4)
c) (-2,6,4)
d) (1,3,2)
5) Which of the following points lies on the plane 2x − 3y + z = 12?
a) (2,1,5)
b) (-2,1,5)
c) (-2,-1,5)
d) (2,-1,5)
6) Which of the following vectors is normal to the plane 2x - 3y + z = 12?
a) (2,-1,5)
b) (2, -3,1)
c) (0,0,12)
d) (1,3,2)
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