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vector problem.. people keep giving me the wrong answer and I can't get it!?

Find a vector with a magnitude of 1.00 that bisects the angle between the vectors 5.00i + 11.0j and 2.00i − 1.00j. Give your answer in rectangular coordinates.

I converted to polar and got (12.08 , 65.56 degrees) and (2.24 , -26.57 degrees).

I averaged the degrees and got 46 degrees

converted (1 , 46 degrees) and I got

(.69 , .72) which is wrong

another time I did it I got (.94 , .33) which is also wrong

Idk what else to do but I really need help

2 Answers

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  • 1 decade ago
    Favorite Answer

    You found the angle between the bisector and each of the other vectors correctly, 46.06 degrees. You need to add this angle to -26.57 degrees( or subtract it from 65.56 degrees) to get the angle it makes with the x-axis. You should get 19.50 degrees. Then you can convert it to rectangular coordinates.

    Edit: I got your second answer (0.94 , 0.33)

    Are you supposed to use the same number of significant figures as the given numbers in the problem?

    Should it be ( 0.943 , 0.334)?

  • ?
    Lv 5
    1 decade ago

    POLAR COORDINATES ARE IN RADIANS!!!

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