# applications of vectors

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Two people are carrying a box. One person exerts a force of 150 pounds at an angle of 62.4 degrees with the horizontal. The other person exerts a force of 114 pounds at an angle of 54.9 degrees. Find the weight of the box.

• applications of vectors -

first vector = (150cos62.4, 150sin62.4)
2nd vector = (114cos54.9 , 114sin 54.9)

resultant = first vector + 2nd vector
= (135.045 , 226.1996)

magnitude = weight = √(135.045^2 + 226.1996^2)
= appr 263.4

• applications of vectors -

suppose you would like to cross a 132-foot-wide river in a motorboat

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