Working with Vectors If A rightarrow - 12i^- 16j^and B rightarrow -24i^+ 10j^, w

Question

Working with Vectors If A rightarrow - 12i^- 16j^and B rightarrow -24i^+ 10j^, what is the magnitude of the vector C^rightarrow = 2A^rightarrow - B^rightarrow? If A rightarrow - 12i^- 16j^and B rightarrow -24i^+ 10j^, what is the direction of the vector C rightarrow = 2A^rightarrow - B^rightarrow? Given that A rightarrow + 2B rightarrow - x_1 i^+y_1 j^and 2A rightarrow - B rightarrow - x_2 i^+ y_2 j^, what is A rightarrow? Given that A rightarrow + B rightarrow - x_1 i^+y_1 j^and A rightarrow - B rightarrow - x_2 i^+ y_2 j^, what is A rightarrow? Given that A rightarrow + B rightarrow - x_1 i^+y_1 j^and A rightarrow - B rightarrow - x_2 i^+ y_2 j^, what is B rightarrow?

Explanation / Answer

A) C = 48i - 42j

|C| = 63.78

B) same as A

C) (A+2B) + 2(2A-B) = 5A = (x1+2x2)i + (y1+2yy)j

A = [x1+2x2)i + (y1+2yy)] / 5

D) A = [(x1+x2)i + (y1+y2)j]/ 2

E) B =  [(x1-x2)i + (y1-y2)j]/ 2

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