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Suppose vector A=3i-2j, B= -i-4j and vector C are three vectors in xy plane with the property that vectors A+B-C. What is the unit vector along vector C?

  • physics -

    Don't you mean that A + B = C ?

    A + B - C is not a property. It is a vector that depends upon what C is.

    A "unit vector along C" will depend upon how C is defined. It will be a combination of i and j. It is hard to believe they are really asking for that.

  • physics -

    I bet Dr WLS is right and that - sign should be an = sign

    making that assumption:
    A + B = C = 2 i - 6 j
    we need a unit vector in the C direction
    Find magnitude of i - 3 j which is in C direction
    sqrt (1^2 + 3^2) = sqrt (10)
    (1/sqrt 10) i - (3/sqrt 10) j

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