Ex 10.2, 5

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Ex 10.2, 5 (Introduction) Find the scalar and vector components of the vector with initial point (2, 1) and terminal point (– 5, 7). Let vector 𝑎﷯ = 2 𝑖﷯ – 5 𝑗﷯ + 4 𝑘﷯ Then, Scalar components = 2, –5 and 4 Vector components = 2 𝑖﷯, –5 𝑗﷯ and 4 𝑘﷯ Ex 10.2, 5 Find the scalar and vector components of the vector with initial point (2, 1) and terminal point (–5, 7). Let Initial point = A (2, 1) Terminal point = B (–5, 7) 𝐴𝐵﷯ = (−5 − 2) 𝑖﷯ + (7 − 1) 𝑗﷯ = –7 𝑖﷯ + 6 𝑗﷯ Scalar components = −7, 6 Vector components = −7 𝒊﷯ , 6 𝒋﷯