- #1
multivariable
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- 0
I can't seem to figure out how to prove the property for R(t) = <f(t), g(t), h(t)> :
Dt[R(t) X R'(t)] = R(t) X R"(t)
Any suggestions?!
Dt[R(t) X R'(t)] = R(t) X R"(t)
Any suggestions?!
Is the "Dt" derivative with respect to t? i.e.(R x R')' ?multivariable said:I can't seem to figure out how to prove the property for R(t) = <f(t), g(t), h(t)> :
Dt[R(t) X R'(t)] = R(t) X R"(t)
Any suggestions?!
Homework Statement
Homework Equations
The Attempt at a Solution
Vector properties refer to the characteristics or attributes of a vector, such as its magnitude, direction, and components.
Proving vector properties allows us to confirm the validity of mathematical equations involving vectors and to understand the underlying principles behind them.
To prove vector properties, we use mathematical techniques such as algebraic manipulation, geometric representations, and vector calculus to show that the equations hold true for all possible values of the vectors involved.
Some common vector properties that need to be proven include the commutative and associative properties of vector addition, the distributive property of scalar multiplication, and the Pythagorean theorem for vector addition.
No, vector properties cannot be proven experimentally as they are based on mathematical principles and not empirical observations. However, experiments can be used to validate the accuracy of vector properties in real-world scenarios.