Vector w has a component form of (-3,5). Which of the following could be the initial point A and the terminal point B of vector w?
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The initial and terminal point of point A and B are:
A(6,-4) and B(3,1)
We are given vector w as:
w<-3,5>
i.e. the vector w is expressed as:
w= -3i+5j
Now when the initial point is:
A(6,-4) i.e. A is : 6i-4j
and the terminal point is: B(3,1) i.e. B=3i+j
Then the vector w is expressed as:
3i+j-(6i-4j)= -3i+j+4j
= -3i+5j
i.e. the vector w is: <-3,5>