Equations of lines Find both the parametric and the vector equations of the following lines. The line through (0, 0, 1) in the direction of the vector v = ⟨4, 7, 0⟩

sagnuhh

sagnuhh

Answered question

2020-12-07

Equations of lines Find both the parametric and the vector equations of the following lines. The line through (0, 0, 1) in the direction of the vector v=4,7,0

Answer & Explanation

Gennenzip

Gennenzip

Skilled2020-12-08Added 96 answers

Step 1 Given: The line through (0, 0, 1) in the direction of the vectorv=<4,7,0>. To find: Vector and parametric equations for the given line. Step 2 Let, r0=(0,0,1),d=<4,7,0> The vector equation of the line is, r=r0+td 
r=<0,0,1>+t<4,7,0> 
=<0,0,1>+<4t,7t,0> 
=<0+4t,0+7t,1+0> 
=<4t,7t,1> r=<4t,7t,0> The parametric equations of a line are, Result :x=4t,y=7t,z=0 Vector equation of a line is, r=<4t,7t,0> Parametric equations of a line are, x=4t,y=7t,z=0.

Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-08Added 2605 answers

Answer is given below (on video)

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