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प्रश्न
Find the scalar and vector components of the vector with initial point (2, 1) and terminal point (–5, 7).
उत्तर
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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