What Are the Components of Vector C in the Equation A-B+3C=0?

[BeckyStar678]

Homework Statement

vector A has x and y components of -8.70 cm and 15 cm, respectively; vector B has x and y components of 13.2 cm and -6.60 cm, respectively. if A-B+3C=0, what are the components of C?

Homework Equations

The Attempt at a Solution

i can't figure out how to do it

 

[disturbed123]

you have vector A and vector B subtract them and whatever you get let's call it D, so you will have D+3C=0=>-D/3=C. Remember keep D in x and y component and then divide it by 3.

 

[baba89]

Based on the information given, we can solve for the components of C by setting up the equation A-B+3C=0 and plugging in the given values for A and B. This will result in an equation with two unknowns, the x and y components of C.

To solve for the x component of C, we can isolate it by bringing all the terms with x components to one side of the equation and all the terms without x components to the other side. This will result in an equation of the form x = (some value). Similarly, we can solve for the y component of C by isolating it on one side of the equation.

Once we have the equations for the x and y components of C, we can simply plug in the values for A and B to solve for the components of C. The final answer will be in the form of (x, y), where x represents the x component and y represents the y component of C.

It is also important to note the units used in the given values (cm) and make sure to use the same units in the final answer. It is also a good practice to double check the math and make sure the units cancel out correctly in the final answer.

In summary, to solve for the components of C, we can set up the given equation and isolate for the x and y components of C, then plug in the given values for A and B to solve for the components of C in the form (x, y).