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Question: Given a vector with the initial point, (3,1) and the terminal point, (-4,2), find unit vector form.
Answers: Pick One
-7i + j
-7i + 3j
i + j
i + 3j


Sagot :

Think of the given points as endpoints of vectors.

The point (3, 1) is the terminus of the vector 3 i + j.

The point (-4, 2) is the terminus of -4 i + 2 j.

By the "triangle rule" for vector summation, the vector starting at (3, 1) and ending at (-4, 2) is the difference between these two vectors.

(-4 i + 2j) - (3i + j) = -7 i + j