SOLUTION: From vector addition/subtraction lesson: Each of the following vector expressions can be simplified and written as a single vector. Write the single vector corresponding to eac

Algebra ->  Vectors -> SOLUTION: From vector addition/subtraction lesson: Each of the following vector expressions can be simplified and written as a single vector. Write the single vector corresponding to eac      Log On


   



Question 1201409: From vector addition/subtraction lesson:
Each of the following vector expressions can be simplified and written as a single
vector. Write the single vector corresponding to each expression and illustrate your answer with a sketch.
a.
--> --> -->
PQ - RQ + RS
b.
--> --> --> -->
PS + RQ - RS - PQ

Answer by ikleyn(52909) About Me  (Show Source):
You can put this solution on YOUR website!
.
a.
--> --> -->
PQ - RQ + RS
b.
--> --> --> -->
PS + RQ - RS - PQ
~~~~~~~~~~~~~~~~~~~~~~~~~~~

(a)  PQ - RQ + RS = PQ + QR + RS = PS  ,  according to the base rule of addition vectors.



(b)  PS + RQ - RS - PQ = PS + RQ + SR + QP = (re-group addends) = PS + SR + RQ + QP = 0  (zero vector, since we have a closed contour).


        If I understand it correctly,  it is in the style of  April-1 Math jokes . . .

        I like this joke:  it is in a right style.


Thanks for posting it . . .