Problem: Let vectors: A = (1,0,-3), B = (-2,5,1), and C = (3,1,1)Scalar triple productCalculate A · (B × C)

FREE Expert Solution

We'll first determine the vector product B×C.

B×C=|i^j^k^-251311|=i^[(5)(1)-(1)(1)] - j^[(-2)(1)-(1)(3)]+k^[(-2)(1)-(5)(3)]=i^[4]-j^[-5]+k^[-17]=4i^ + 5j^ -17k^

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Problem Details

Let vectors: A = (1,0,-3), B = (-2,5,1), and C = (3,1,1)

Scalar triple product
Calculate A · (B × C)

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Our tutors have indicated that to solve this problem you will need to apply the Calculating Cross Product Using Components concept. If you need more Calculating Cross Product Using Components practice, you can also practice Calculating Cross Product Using Components practice problems.