If AM × BM = 0 , then how is AM oriented relative to BM ?Jeanclaud said:Find the set of points of M such that:
Homework Statement
AM x BC=AM x AC (Vectors)
The Attempt at a Solution
AM x (BM+MC) =AMx(AM+MC)
AMxBM+AMxMC=AMxAM +AM x MC
Then AMxBM=0
MA X MB=0[/B]
I am new to this lesson and this is my first time i solve such a question and i had no idea how to solve it but i tried my best please some help give me some hints, Thank you.
Right-handedSammyS said:If AM × BM = 0 , then how is AM oriented relative to BM ?
Do you mean that they form a right angle?Jeanclaud said:Right-handed
Thanks for the help.SammyS said:Do you mean that they form a right angle?
Yes, they do.
Look at two fixed points, A and B, in a plane. Consider where point M can lie, if vector, AM ⊥ BM . Now consider all such locations point M can occupy.
To be sure that you fully understand:Jeanclaud said:Thanks for the help.
A vector cross product is a mathematical operation that takes two vectors as input and produces a third vector that is perpendicular to the two input vectors. It is often used in physics and engineering to calculate the direction and magnitude of forces and moments.
The vector cross product is calculated using a specific formula: AM x BC = (AMx * BCy - AMy * BCx) * u, where AM and BC are the two input vectors, AMx and BCy are the x and y components of the respective vectors, and u is a unit vector in the direction of the resulting vector.
The vector cross product is significant in physics because it allows us to calculate the direction and magnitude of forces and moments in 3D space. It is used in many applications, such as calculating torque, magnetic fields, and fluid dynamics.
No, the vector cross product can only be used with numeric vectors. This is because it involves mathematical operations, such as multiplication and addition, which cannot be performed on non-numeric values.
No, the vector cross product is not commutative. This means that the order in which the vectors are multiplied matters. Switching the order of the vectors will result in a different cross product.