Welcome to Physics Forums.renncat2 said:Let a[itex]\vec{A}[/itex]+ b[itex]\vec{B}[/itex] + [itex]\vec{C}[/itex] = 0, where [itex]\vec{A}[/itex] = (75, -60), [itex]\vec{B}[/itex] = (-16, 60), and [itex]\vec{C}[/itex] = (84,16). I need to find the value of a and b. I really have no idea where to start with this problem any help would be great!
The magnitude of the resultant vector is zero, by definition.renncat2 said:So far I found the magnitude of the resultant displacement. (Rx = 144, Ry = 16, [itex]\vec{R}[/itex] = 144.886)
Vectors with constants refer to a vector that is multiplied by a constant value, resulting in a new vector with a different magnitude and possibly direction. This is commonly used in vector operations and calculations.
Vectors with constants are typically represented as [constant] x [vector] or [vector] x [constant] depending on the notation used. It is important to note the order of the constant and vector when representing them.
Vectors with constants are commonly used in physics and engineering to represent forces and velocities. They are also used in computer graphics to represent transformations and animations.
To perform operations on vectors with constants, you can simply multiply the constant value to each component of the vector. For example, if you have a vector v = (x, y, z) and a constant c, the resulting vector would be c * v = (cx, cy, cz).
Yes, vectors with constants can be used in any number of dimensions. The process of multiplying the constant value to each component of the vector remains the same, regardless of the dimensionality of the vector.