(a) Explanation If L is a line that contains the point ( x 0 , y 0 , z 0 ) and is aligned with the vector v = A i + B j + C k , then the point ( x , y , z ) is on L if and only if its co-ordinates satisfy x = x 0 + t A , y = y 0 + t B , z = z 0 + t C For some number t. For example, consider a line that passes through point ( 13 3 , 0 , − 2 3 ) and is aligned with the vector v = 3 j + 3 k (b) To determine To find: the symmetric form of a line in R 3

Student's Solution and Survival Manual for Calculus

7th Edition

ISBN: 9781524934040

Author: STRAUSS MONTY J, TODA MAGDALENA DANIELE, SMITH KARL J

Publisher: Kendall Hunt Publishing

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Chapter 9, Problem 12PE

(a)

To determine

To find:the parametric form of a line in R3

(b)

To determine

To find: the symmetric form of a line in R3

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the parametric form of a line in R 3

Solution Summary: The author explains the equation of the parametric of a required line in R3.