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Please show your solutions in solving. Please make it brief but readable/visible. I will give you a very good feedback. Thank you! 1. Given: vector

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Please show your solutions in solving. Please make it brief but readable/visible.

I will give you a very good feedback. Thank you!

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1. Given: vector 1 = (1, -2, 4) nonzero vector 7 parallel to A = ( 0. 1:91 09 such that u . 7 = 14 (a) Find the projection of 7 onto a without finding the components of v. (2 points) (b) Find the components of v. (Hint: Since v is parallel to A, U = cA for some scalar c. Use u -7 = 14 to find the value of c.) (2 points) (c) Using i and the result of item 1(b), find a set of parametric equations for the line with direction vector u + 47 that passes through the point (4, 3, 5). (2 points)

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