Question

# consider the Line L is given by L: r(t) = <3t +1, t+2, 2t-1>

and two planes P1 and P2 given by P1 :

x+y-z = 6, P2 :2x-2y + 2z =2

a)Does the line L intersect the Plane P1? If so , find the point of intersection. If not explain

b)Find the angle between P1 and P2. leave answer as sarcosine of some number

c)Find the distance between origin and line L

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