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22 June, 07:11

Two vectors, r with arrow and s with arrow, lie in the xy plane. Their magnitudes are 4.40 and 7.45 units, respectively, and their directions are 310° and 84.5°, respectively, as measured counterclockwise from the positive x axis. What are the values of the following products?

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  1. 22 June, 07:18
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    The result is a vector perpendicular to the xy plane: 23.38 k

    Explanation:

    The cross product of two vectors r and s is defined only in three-dimensional space and is denoted by r * s. The cross product is defined by the formula:

    r * s = ║r║·║s║· Sin θ· n

    where θ is the angle between r and s in the plane containing them, ‖r‖ and ‖s‖ are the magnitudes of vectors r and s, and n is a unit vector perpendicular to the plane containing a and b in the direction given by the right-hand rule.

    So, the result is:

    r * s = 4.40 * 7.45 * Sin (134.5°) k = 23.38 k
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