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Question
Find the scalar and vector components of the vector with initial point (2, 1) and terminal point (–5, 7).
Solution
Let the initial and final points of the vector be A(2, 1), B(-5, 7) respectively.
`therefore vec(AB) = (x_2 - x_1)hati + (y_2 - y_1)hatj`
= `(-5 - 2)hati + (7 - 1)hatj`
= `-7hati + 6hatj`
∴ The given scalar components are -7 and 6, while the vector components are `-7hati` and `6hatj`.
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