Determine the parametric, vector and scalar equations for line passing

sklicatias

sklicatias

Answered question

2021-11-29

Determine the parametric, vector and scalar equations for line passing through (2, 11) and (6, 1)

Answer & Explanation

Leory2000

Leory2000

Beginner2021-11-30Added 10 answers

Step 1
Given:
to find parametric equations through a point (2, 11) and (6, 1)
Direction vextor v=6+2, 111
=8, 10
Parametric equations are:
x=x0+at, y=y0+bt
x=2+8t, y=1110t
Step 2
Vector equation:
r=a+tb
=(211)+t(810)
Scalar equation:
1) x=2+8t
2) y=1110
y11=10t
t=11y10
x=2+8(11y10)
x=10+444y
x=344y
x+4y34=0

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