A Course in Practical Mathematics

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Along the direction of motion of the boat.
/. Work done = 85 X 100 X cos 25 ft. -lbs. = 7703 ft. -lbs.
The power is equal to the scalar product of vectors of 85 lbs. And 5| ft. Per second, making an angle of 25 with each other.
/. Power = 85 X 5*5 X cos 25 ft. -lbs. Per second ^ 85 X 5-5 X 0-9063 H p = 0770 H. P.
Examples. LXXXVI.
Calculate the following scalar products : 1- 53n ! 2. 5ij, o . 1, 0. 3. 52, o . 1, 0.
5. 530' l9

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