Find the scalar and vector components of the vector with initial … - Vidyadip

Question

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

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Answer

The vector with the initial point P (2, 1) and terminal point Q (-5, 7) can be given by,

$\overrightarrow{\text{PQ}}=(-5-2)\hat{i}+(7-1)\hat{j}$

$\Rightarrow\ \overrightarrow{\text{PQ}}=-7\hat{i}+6\hat{j}$

Hence, the required scalar components are -7 and 6 while the vector component are,

$-7\hat{i}\ \text{and}\ 6\hat{j}$

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