If a child pulls a sled through the snow on a level path with a force of 80 N exerted at an angle of 35° above the horizontal, find the horizontal and vertical components of the force. Step 1 We are given that a force of 80 N is exerted at an angle of 35°. Therefore, the force vector F can be represented as the hypotenuse of a right triangle with an acute angle 35°. The length of the hypotenuse would be |F| = 80 This is illustrated as follows, with a° = 35°.
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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