class 12 maths vector algebra

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

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📘 Vector Algebra NCERT,Page 440,Ex.10.2,Q.No 5 SA

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

Official Solution

VVidaara Team ✓ Verified solution NCERT & Exemplar

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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