Let r 1 (t) = v 1 + tw 1 and r 2 (t) = v 2
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Let r1(t) = v1 + tw1 and r2(t) = v2 + tw2 be parametrizations of lines L1 and L2. For each statement (a)–(e), provide a proof if the statement is true and a counterexample if it is false.
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(a) If L : = (b) If L : = (c) If L = L2, then V V and W = W. L2 and v V2, then w = W. = L2 and W W2, then V = V2. (d) If L is parallel to L2, then W = W2. (e) If L is parallel to L2, then w = Aw for some scalar >.
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a This statement is false Consider the following lines L L2 The line L passes through the points P 1 ...View the full answer
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