Find parametric equations for the lines in The line through the origin parallel to the vector 2j + k

Josalynn 2021-02-12 Answered
Find parametric equations for the lines in The line through the origin parallel to the vector 2j+k
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Expert Answer

Arham Warner
Answered 2021-02-13 Author has 102 answers

Step 1 Given The vector equation is 0i+2j+k The line passing through origin , origin is ( 0 ,0 ,0) The parametric equations for the line passing through the point p0=(x0,y0,z0) and parallel to the vector is v=(ai+bj+ck)
x=x0+at,y=y0+bt,z=z0+ct

Step 2 To find parametric equations for the lines Here a=0,b=2,c=1,x0=0,y0=0 and z0=0

Now plug this values in parametric equation x=0+0t,y=0+2t,z=0+1t
x=0,y=2t,z=t

Therefore parametric equations for the line is x=0,y=2tandz=t .

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