Suppose vector u = <1,-5,5> and vector v = <3,3,2>Evaluate (vector u) cross prodcut (vector v)  

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sciencesolve | Teacher | (Level 3) Educator Emeritus

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You need to evaluate the cross product of the given vectors, using the following formula, such that:

`bar u x bar v = [(bar i, bar j, bar k),(u_x,u_y,u_z),(v_x,v_y,v_z)]`

Identifying `u_x = 1, u_y = -5, u_z = 5` and `v_x = 3,v_y = 3,v_z = 2` yields:

`bar u x bar v = [(bar i, bar j, bar k),(1,-5,5),(3,3,2)]`

`bar u x bar v = 2*(-5)*bar i + 5*3*bar j + 1*3*bar k - 3*(-5)*bar k - 3*5*bar i - 2*1*bar j`

Reducing duplicate terms yields:

`bar u x bar v = -25 bar i + 13 bar j + 18 bar k`

Hence, evaluating the cross product of the given vectors yields ` bar u x bar v = -25 bar i + 13 bar j + 18 bar k` .

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