Represent the plane curve by a vector-valued function. 2x-3y+5=0

hrostentsp6

hrostentsp6

Answered question

2021-11-25

Represent the plane curve by a vector-valued function.
2x3y+5=0

Answer & Explanation

menerkupvd

menerkupvd

Beginner2021-11-26Added 12 answers

Step 1
Given: 2x3y+5=0
For finding given equation in vector form, we assume x=t and find value of y in terms of t
So,
2t3y(t)+5=0
3y(t)=2t5
3y(t)=2t+5
y(t)=2t+53
Step 2
So, vector equation of line is given by
r(t)=ti+2t+53j
Hence, vector equation of given line is r(t)=ti+2t+53j

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