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QUESTION 1 What two ingredients will suffice to find an equation of any given line? O a. A point that the line goes through and a vector that touches the line. b.A point that the line goes through and a vector that is parallel to the line. OC.A vector orthogonal to the line and a dot product of the line with another line. O d.A wing and a prayer. e. None of the other choices. QUESTION 2 Which of the following describes a different plane than the other three? O a. x+2y+3z 6 O b.(1,2,3) (r- (1,1,1)=0 Oc.x+2(y-6) +3(z+2) =0 O d.(x- 1) +2(y-1) + 3(z- 1) = 0 Oe. They are all the same plane. QUESTION 3 What is the best descriptor of the angle between two planes? O a. The angle between the normal vectors of the planes. Ob. The angle between a pair of vectors, where each comes from its respective plane. O. The angle between two position vectors, each touching one plane. O d. The angle between a vector that goes through both planes, and the xy-plane. O e. None of the above.

QUESTION 1 What two ingredients will suffice to find an equation of any given line? O a. A point that the line goes through and a vector that touches the line. b.A point that the line goes through and a vector that is parallel to the line. OC.A vector orthogonal to the line and a dot product of the line with another line. O d.A wing and a prayer. e. None of the other choices. QUESTION 2 Which of the following describes a different plane than the other three? O a. x+2y+3z 6 O b.(1,2,3) (r- (1,1,1)=0 Oc.x+2(y-6) +3(z+2) =0 O d.(x- 1) +2(y-1) + 3(z- 1) = 0 Oe. They are all the same plane. QUESTION 3 What is the best descriptor of the angle between two planes? O a. The angle between the normal vectors of the planes. Ob. The angle between a pair of vectors, where each comes from its respective plane. O. The angle between two position vectors, each touching one plane. O d. The angle between a vector that goes through both planes, and the xy-plane. O e. None of the above.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please provide correct option for all Three multiple choice questions correctly
QUESTION 1 What two ingredients will suffice to find an equation of any given line? O a. A point that the line goes through and a vector that touches the line. b.A point that the line goes through and a vector that is parallel to the line. OC.A vector orthogonal to the line and a dot product of the line with another line. O d.A wing and a prayer. e. None of the other choices. QUESTION 2 Which of the following describes a different plane than the other three? O a. x +2y+3z 6 O b.(1,2,3) (r-(1,1,1))=0 Oc.x+2(y-6) + 3(z+2) =0 O d.(x- 1) +2(y-1) + 3(z- 1) = 0 O e. They are all the same plane. QUESTION 3 What is the best descriptor of the angle between two planes? O a. The angle between the normal vectors of the planes. Ob. The angle between a pair of vectors, where each comes from its respective plane. O. The angle between two position vectors, each touching one plane. Od. The angle between a vector that goes through both planes, and the xy-plane. O e. None of the above.
Transcribed Image Text:QUESTION 1 What two ingredients will suffice to find an equation of any given line? O a. A point that the line goes through and a vector that touches the line. b.A point that the line goes through and a vector that is parallel to the line. OC.A vector orthogonal to the line and a dot product of the line with another line. O d.A wing and a prayer. e. None of the other choices. QUESTION 2 Which of the following describes a different plane than the other three? O a. x +2y+3z 6 O b.(1,2,3) (r-(1,1,1))=0 Oc.x+2(y-6) + 3(z+2) =0 O d.(x- 1) +2(y-1) + 3(z- 1) = 0 O e. They are all the same plane. QUESTION 3 What is the best descriptor of the angle between two planes? O a. The angle between the normal vectors of the planes. Ob. The angle between a pair of vectors, where each comes from its respective plane. O. The angle between two position vectors, each touching one plane. Od. The angle between a vector that goes through both planes, and the xy-plane. O e. None of the above.
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