Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
Determine whether the statement below is true or false. Justify the answer.
The equation x = p + tv describes a line through v parallel to p.
Choose the correct answer below.
O A. The statement is true. The effect of adding p to v is to move p in a direction parallel to the line through v and O. So the equation
x = p + tv describes a line through v parallel to p.
B. The statement is false. The effect of adding p to v is to move p in a direction parallel to the plane through v and 0. So the equation
x=p+tv describes a plane through v parallel to p.
C. The statement is false. The effect of adding p to v is to move v in a direction parallel to the plane through p and 0. So the equation
x = p + tv describes a plane through p parallel to v.
D. The statement is false. The effect of adding p to v is to move v in a direction parallel to the line through p and 0. So the equation
x = p + tv describes a line through p parallel to v.
wrong
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Transcribed Image Text:Determine whether the statement below is true or false. Justify the answer. The equation x = p + tv describes a line through v parallel to p. Choose the correct answer below. O A. The statement is true. The effect of adding p to v is to move p in a direction parallel to the line through v and O. So the equation x = p + tv describes a line through v parallel to p. B. The statement is false. The effect of adding p to v is to move p in a direction parallel to the plane through v and 0. So the equation x=p+tv describes a plane through v parallel to p. C. The statement is false. The effect of adding p to v is to move v in a direction parallel to the plane through p and 0. So the equation x = p + tv describes a plane through p parallel to v. D. The statement is false. The effect of adding p to v is to move v in a direction parallel to the line through p and 0. So the equation x = p + tv describes a line through p parallel to v. wrong
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