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Which of the following are orthogonal pairs?

a. 3i+2j b. i+j c. 2i-3j d. -7i+j

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126.A person buys a horse for 15 ponds after one year he sells it for 20 pounds .After one year , again he buys the same horse at 30 pounds and sells it for 40 pounds. What is the profit for that person?| The New York Public Library is one of the world's greatest repositories of books and journals. It has a beautiful reading room facing Manhattan's famous Fifth Avenue. lathe reading room are 10 reading spots. Each reading spot consists of a round table with 4 chairs placed around it. There are some readers such that in each occupied reading spot there are different numbers of readers. If in all there are 10 readers: how many reading spots are empty?