Determine whether the lines intersect and if so find the point of intersection and the cosine of the angle of intersection x=4t+2 y=3 z=-t+1.

As the lines are not intersecting nor parallel, they must be skew.

Step-by-step explanation:

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Parametric equations of two lines are:

L₁ : x=4t+2 , y = 3 , z =-t+1

L₂: x=2s+2 , y= 2s+5 , z = s+1

If lines are parallel then parametric coordinates must be equal scalar multiple of each other which s not true here.

If lines are intersecting then parametric coordinates must be equal for some value of t and s.

Hence the lines are not intersecting nor parallel, they must be skew.

i need a picure

step-by-step explanation: