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Vinil7 [7]
4 years ago
7

Consider the following three vectors:

Physics
1 answer:
Vedmedyk [2.9K]4 years ago
8 0

To make the sum of the vectors, we must make the sum of each of its components. Note that each comma indicates a different component and that component must be the same as that added to the other vector. If there is a number multiplying the vector, we will first proceed to perform the internal multiplication and then the sum.

A)

A+B = (2,-1,1)+(3,0,5)

A+B = (5,-1,6)

B)

B+C = (3,0,5)+(1,4,-2)

B+C = (4,4,3)

C)

A+B+C =(2,-1,1)+(3,0,5)+(1,4,-2)

A+B+C = (6,3,4)

D)

3A+2C = 3(2,-1,1)+2(1,4,-2)

3A+2C = (8,5,-1)

E)

2A+3B+C = 2(2,-1,1)+3(3,0,5)+)+(1,4,-2)

2A+3B+C = (14,2,15)

F)

2A+3(B+C) = 2(2,-1,1)+3((3,0,5)+(1,4-2))

2A+3(B+C) = (16,10,11)

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