What is the parametric equation of line passing through #P(2,0,1)# and #Q(3,4,-2)#?

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Answer 1 · 2017-03-16T09:21:37

Parametric equation of line #PQ# is
#x=2+3t#,
#y=4t# and
#z=1-2t#

If #A(x_1,y_1,z_1)# and #B(x_2,y_2,z_2)# are two points,

parametric equation of line #AB# is

#x=x_1+tx_2#, #y=y_1+ty_2# and #z=z_1+tz_2#

Here as we have #P(2,0,1)# and #Q(3,4,-2)# as two points,

parametric equation of line #PQ# is

#x=2+3t#, #y=0+4t# and #z=1-2t# i.e.

#x=2+3t#, #y=4t# and #z=1-2t#