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Vector Algebra

Question
CBSEENMA12033982
Wired Faculty App

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

Solution
Let P(2, 1) and Q(– 5, 7) be initial and terminal points.
therefore space space space space PQ with rightwards arrow on top space equals space left parenthesis negative 5 minus 2 right parenthesis space straight i with hat on top space plus space left parenthesis 7 minus 1 right parenthesis space straight j with hat on top space equals space 7 space straight i with hat on top space plus space 6 space straight j with hat on top
∴    scalar components are – 7, 6 and vector components are negative 7 space straight i with hat on top comma space 6 space straight j with hat on top.

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