By Rotman J.J.

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Find x({> |) and y({> |) such that i (}) = x + ly= (b). Find the solution of i (}) = 10 2l= 2. Let i (}) = (3 + l)} + 1 + 2l where } = { + l| (a). Find x({> |) and y({> |) such that i (}) = x + ly= (b). Find the solution of i (}) = 1 2l= 3. Let i (}) = (} + 2l)@(} l) where } = { + l| (a). Find x({> |) and y({> |) such that i (}) = x + ly= (b). Find the solution of i (}) = 1 2l= 4. Let i (}) = (2} + l)@(} + l) where } = { + l| (a). Find x({> |) and y({> |) such that i (}) = x + ly= (b).

B). Find the parametric equations. 4. Let the line contain the point (2> 7) and be perpendicular to [1 1]= (a). Find the vector equation using a normal vector. (b). Find the single algebraic equation. $ 5. Find the point on the line u = w[1 2] + [0 1] that is closest to the point (5> 5)= 6. Find the point on the line given by { = 2w + 2 and | = w + 1 that is closest to the point (5> 5)= 7. Use MATLAB to create a graph of the line given by { = w + 2 and | = 2w with 0 w 5= 8. Use MATLAB to create a graph of the curve given by { = w + 2 and | = 2w2 with 0 w 3= 9.

3) to compute the area of the parallelogram given by the column vectors ¸ ¸ 1 3 a= and b = = 2 1 10. 3) to compute the area of the parallel$ $ ogram given by the vectors d = [2 1] and e = [1 1]= $ $ 11. Let d = [2 1] and e = [1 1]= Verify the area of the parallelogram $ $ given by the vectors 6 d and 3 e is 18 times the area of the parallelogram given $ $ by the vectors d and e = 12. Consider the work in moving an object up a ramp whose horizontal edge $ is 25 and vertical edge is 5.