ANSWER [ 0, 4, -4] , t = 2
Given
X = [ 3t - 6, 4 , 6 - 5t ]
then x = 3t - 6
y = 4
z = 6 - 5t
and plane is 2x + y + z = 0
then by placing the value of x, y, z in plane equation
2(3t - 6) + 4 + 6 - 5t = 0
6t -12 + 4 + 6 - 5t = 0
t -2 = 0
t = 2
so x = 3*2 - 6 = 6 - 6 = 0
y = 4
z = 6 - 5*2 = 6 - 10 = - 4
point is [ 0 , 4, -4] at t = 2
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