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31 July, 04:32

Two boys searching for buried treasure are standing underneath the same tree. one boy walks 12 m east and then 12 m north. the other boy walks 18 m west and then 11 m north. find the scalar product of their net displacements from the tree.

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  1. 31 July, 04:48
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    Let

    The origin of coordinates the tree

    r1 = vector position of the child 1.

    r2 = vector position of the child 2

    Child 1:

    r1 = (12i + 12j)

    Child 2:

    r2 = (-18i + 11j)

    The scalar product will be given by:

    r1. r2 = ((12) * ( - 18)) + ((12) * (11)) = - 84

    The scalar product of their net displacements from the tree is - 84m ^ 2
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