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Question

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

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Solution

The given initial point is P( 2,1 )and terminal point is Q( 5,7 ).

Formula for vector equation when initial and terminal points are given is,

PQ =( x 2 x 1 ) i ^ +( y 2 y 1 ) j ^

Here, x 1 =2, x 2 =5, y 1 =1 and y 2 =7.

Substitute the values in above formula, we get,

PQ =( 52 ) i ^ +( 71 ) j ^ =7 i ^ +6 j ^

Thus, the scalar components are 7 and 6, and the vector components are 7 i ^ and 6 j ^ .


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