Determine if the statement is true or false, and justify your answer. The vector

Question

Determine if the statement is true or false, and justify your answer. The vector 4u is longer than the vector -6u. True. For example, the length of 4[10 0] = [40 0] is 40, and the length of (-6)[1 0] = [-6 0] is 6. True. For example, the length of 4[1 0] = [4 0] is 4, and the length of (-6)[1 0] = [-6 0] is -6. False. The length of -6u is undefined. False. For example, the length of 4[-10 0] = [-40 0] is -40, but the length of (-6)[1 0] = [-6 0] is -6. False. For example, the length of 4[1 0] = [4 0] is 4, but the length of (-6)[1 0] = [-6 0] is 6.

Explanation / Answer

FALSE by last option (e)

Explanation: For any constant r, the length of vector ru is |r|.

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