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Find the Components Along the Coordinate Axes of the Position Vector of the Following Point : P(3, 2) - Mathematics

Sum

Find the components along the coordinate axes of the position vector of the following point :

P(3, 2)

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Solution

Let O be the origin.

The position vector of point P(3,2),

\[\overrightarrow{OP} = 3\hat{i}+ 2\hat{ j}\]

Component of \[\overrightarrow{OP}\] along x-axis = a vector of magnitude 3 having its direction along the positive direction of x-axis.
    Component of \[\overrightarrow{OP}\] along y-axis = a vector of magnitude 2 having its direction along the positive direction of y-axis.

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APPEARS IN

RD Sharma Class 12 Maths
Chapter 23 Algebra of Vectors
Exercise 23.5 | Q 12.1 | Page 43
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