Find the scalar and vector components of the vector with initial point $(2,1)$ and terminal point $( - 5,7)$.
Find the scalar and vector components of the vector with initial point $(2,1)$ and terminal point $( - 5,7)$.
Official Solution
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Let $A(2,1)$ be the initial point and $B( - 5,7)$ be the terminal point.
$\therefore$ $\overrightarrow {AB} = ( - 5\hat i + 7\hat j) - (2\hat i + \hat j) = - 7\hat i + 6\hat j$
$\therefore$ Scalar components are$- 7$ and $6$ and vector components are $- 7\hat i$ and $6\hat j$.
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