Question: Need help with this: 5. Let l1 and 42 be the lines l1 : x = 2 -3t, y = 1+ v3t, z = 2t

Need help with this:

5. Let l1 and 42 be the lines l1 : x = 2 -3t, y = 1+ v3t, z = 2t 12 : x = 2-t, y = 1+3V3t, z =2t Let I be the plane containing l1 and &2. (a) Find an equation for I. Write your answer in the form Ax + By + Cz = D.(b) Find a vector of length 2 such that the line with vector equation 7=1(2,1,0) + {7 lies in I, and is orthogonal to ;. From geometry we know that there are exactly two solutions for v and they are are negatives of each other. Pick the one for which the i-component is positive. (The numbers look ugly, but they turn out all right in the end.)

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