5) Write the equation of the line through the points P(1,3,7) and Q(2,5,11) in: a) Vector form b) Parametric form c) Symmetric form

Drew Williamson

Drew Williamson

Answered question

2022-09-04

5) Write the equation of the line through the points P(1,3,7) and Q(2,5,11) in: a) Vector form b) Parametric form c) Symmetric form

Answer & Explanation

Olleschauvh

Olleschauvh

Beginner2022-09-05Added 4 answers

topic - equation of line through two points
line passes through P(1,3,7) and Q(2,5,11)
parallel vector of line is
a)equation of line in vector form is
r ( t ) = ( 1 , 3 , 7 ) + t < 1 , 2 , 4 >
or
x i ^ + y j ^ + z k ^ = 1 i ^ + 3 j ^ + 7 k ^ + t ( i ^ + 2 j ^ + 4 k ^ )
b)Parametric form
x = 1 + t y = 3 + 2 t z = 7 + 4 t
c)symmetric form
x 1 = y 3 2 = z 7 4

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