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Starwatcher16
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axb=-bxa, why?
Starwatcher16 said:axb=-bxa, why?
berkeman said:Because of the Right Hand Rule.
Because there is no logical way they should go so we just defined AxB as -BxA and it follows the right hand rule in a right handed coordinate system. The cross product is a vector perpendicular to both the crossed vectors and its length is the area of the parallelogram you get, the deal is that either up or down works for this definition so we just have to define either AxB or BxA as up and then the other down, which is why AxB=-BxA.Starwatcher16 said:I have two vectors perpendicular to each other in the xy plane, if I take their cross product, I get another vector in the z plane.
I don't understand why one should be going +z, as opposed to the other way.
To solve an equation with variables on both sides, you need to isolate the variable on one side by using inverse operations. First, you can combine like terms on both sides of the equation. Then, use inverse operations such as addition, subtraction, multiplication, and division to get the variable on one side and the constants on the other side. Finally, solve for the variable by dividing both sides by its coefficient.
Maintaining balance in an equation is crucial because it ensures that both sides of the equation have the same value. When solving an equation, you are essentially trying to find the value of the variable that satisfies the equation. If the equation is not balanced, you will get an incorrect solution, and the equation will not hold true.
To check if your solution to the equation axb=-bxa is correct, you can substitute the value of the variable that you have solved for into the original equation. If the equation holds true, then your solution is correct. Another way to check is by simplifying both sides of the equation and seeing if they are equal.
Yes, the equation axb=-bxa can have more than one solution. This can occur when the variable being solved for has a coefficient of 0 or when the coefficients on both sides of the equation are equal. In these cases, any value for the variable will satisfy the equation, making it have more than one solution.
Some tips for solving equations with variables on both sides include combining like terms, using inverse operations, and checking your solution. It is also helpful to keep the equation balanced at each step and to be careful with negative signs. If you are stuck, you can try isolating the variable on one side first, then move on to the other side. Practice and familiarity with basic algebraic concepts will also make it easier to solve these types of equations.