This is needed in several cases, for example:
If you do the exercises in your physics book, you will probably get ideas for more applications.
no a vector cannot have a component greater than the magnitude of vector
If any component of a vector is not zero, then the vector is not zero.
No, a vector's component cannot be greater than the vector's magnitude. The magnitude represents the maximum possible magnitude of a component in any direction.
To square a vector, you need to multiply each component of the vector by itself and then add up the results. This is also known as finding the magnitude squared of the vector.
can a vector have a component greater than the vector magnitude
No, a vector component is a projection of the vector onto a specific direction. It cannot have a magnitude greater than the magnitude of the vector itself.
prrpendicular projections of a vector called component of vector
No, a component of a vector cannot be greater than the magnitude of the vector itself. The magnitude of a vector is the maximum possible value that can be obtained from its components.
The component of a vector x perpendicular to the vector y is x*y*sin(A) where A is the angle between the two vectors.
Oh, dude, okay, so like, a resultant vector is the overall effect of two or more vectors combined, while a component vector is just one of the vectors that make up the resultant. It's like saying the whole pizza is the resultant, and the pepperoni and cheese slices are the component vectors. So, basically, the resultant is the big picture, and the components are just the pieces that make it up.
It's not. Cos(Θ) only gives you the x-component of a vector. In order to find its y-component, you also need to use sin(Θ).
No.