Calculus and vectors (LINEAR SYSTEMS)

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17 Determine parametric equations of the plane through the point ( 7,-5, 2) parallel to the vectors (4, - 1, 1] and [- 3, 4, 4].18 Find the scalar equation of the plane with vector equation i = [ 3 , 0, 2] + p [ 2, 0, - 17 + 9 [6, 2, 0] [ 5, 8, -67 + 261-12-31 19 Find the intersection point of the following lines. 2x + 5 4 + 15 =0 3 x - 44 +11 =020) Find The intersection of each pair of lives. If They do not meet, determine whether they are parallel and distinct, or skew. 7) F = [ - 2, 01 - 37 + t [ 5, 1 , 3] r = [ 5 , 8, - 6 ] + u [- 1, 2, -31 6) r = [ 2, - 1, 07 + t [ 1, 2, - 3] r = [ - 1, 1 , 2 ] + " [ - 3, 1, 1]\f21. Find the intersection of the line with parametric equations * = 1+ 2t , 4= -6 + 3t, 2 = -5+ 2t and the plane whose scalar equation is 4x -24+2-19 =0