Question 2. a) Determine the vector and parametric equations of the line (L1) passing through the points Á(-1, 2,5) and B(1, 4, 7). b) Determine if the line (L1) (from part (a)) and the line (L2) of equation [r, y, 2] = [2, –5, 3] + t[1, 1, 1] intersect. Why or why not ? c) Is the point (4, 3, 3) on the line (L) ? Why or why not ? d) Determine the vector equation of the plan (P) passing through the points A(-1,2, 5), B(1, 4, 7) and C(2, 5, 5).

Q: y"+y' - 2y = x2

A: Solution :-

Q: Question: 1. Find the vector equations, the parametric equations, symmetric equations of line 1.…

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A: Since A≡(2,-1,0), B≡(-3,0,-2) and C≡(0,3,-1). So AB→=-5i+j-2k, AC→=3i+4j-k and BA→=5i-j+2k. Thus…

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