The discussion revolves around a vector equation involving two unknowns, a and b, in the context of vector addition. The original poster presents the equation a\vec{A}+ b\vec{B} + \vec{C} = 0, with specific vector values provided.
The discussion is ongoing, with participants seeking clarification on how to solve the equations. Some guidance has been offered regarding the nature of the equations, but no consensus or specific methods have been established yet.
There appears to be uncertainty regarding the initial steps to take in solving the vector equation, as well as a lack of familiarity with solving simultaneous equations among some participants.
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)