Question: Let r 1 (t) = v 1 + tw 1 and r 2 (t) = v 2 + tw 2 be parametrizations of lines L

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.

(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 =

(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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