- #1
It's wrong before that, even.Shyan said:That's wrong!
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(i-j)\times (i+j)=\underbrace{i\times i}_0+i \times j- j\times i-\underbrace{ j \times j}_0=i\times j+i\times j=2 i \times j=2 k
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A vector is a mathematical quantity that has both magnitude and direction. It is represented by an arrow pointing in the direction of the vector, with the length of the arrow representing the magnitude. Vectors are commonly used in physics and engineering to describe the movement and forces acting on objects.
The notation "i-j=k" represents a vector with three components: i, j, and k. "i" represents the vector's magnitude in the x-direction, "j" represents the magnitude in the y-direction, and "k" represents the magnitude in the z-direction. This notation is commonly used in three-dimensional coordinate systems to describe the direction and magnitude of a vector.
In this context, MA stands for the magnitude of the vector. The magnitude of a vector is calculated by taking the square root of the sum of the squares of its components. Since i, j, and k represent the magnitude in the x, y, and z directions respectively, the sum of these components results in the magnitude of the vector.
A vector is represented visually by an arrow pointing in the direction of the vector. The length of the arrow represents the magnitude of the vector. The direction of the arrow represents the direction of the vector in relation to the coordinate system being used.
The "i-j=k" notation is significant in vector notation because it allows for the representation of vectors in three-dimensional space. By assigning components to the x, y, and z directions, the notation makes it possible to describe the direction and magnitude of a vector in three-dimensional coordinate systems.