Question

Vector v has an initial point at (8, 8) and a terminal point at (16, 11). Which of the following represents the linear form of v?

v = −3i − 8j
v = 3i + 8j
v = −8i − 3j
v = 8i + 3j

Answer 1

v = 8i +3j

Explanation:

The components of the linear form of a vector are found by subtracting the coordinates of the initial point from those of the terminal point.

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v = (16, 11) -(8, 8) = (16 -8, 11 -8) = (8, 3)

As a sum of unit vectors, this is ...

v = 8i +3j