Prove that product rule for differentiation applies to the dot product of two vectors.
Answer to Problem 4.1P
It is proved that product rule for differentiation applies to the dot product of two vectors.
Explanation of Solution
Write the expression for the vector
Here,
Write the expression for the dot product of two vectors
Write the expression for the differentiation of the dot product of two vectors.
Rearrange equation (III) to prove the product rule for differentiation applies to the dot product of two vectors.
Conclusion:
Therefore, it is proved that product rule for differentiation applies to the dot product of two vectors.
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Chapter 4 Solutions
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