Find the Position Vector of the Mid-point of the Line Segment Ab, Where A Is the Point (3, 4, −2) And B Is the Point (1, 2, 4). - Mathematics

Question

Find the position vector of the mid-point of the line segment AB, where A is the point (3, 4, −2) and B is the point (1, 2, 4).

Solution

Given: A (3, 4, −2) and B(1, 2, 4)
Let C is the mid point of AB
∴ Position vector of C = $\frac{3 \hat{i} + 4 \hat{j} - 2 \hat{k} + \hat{i} + 2 \hat{j} + 4 \hat{k}}{2}$
$= \frac{4 \hat{i} + 6 \hat{j} + 2 \hat{k}}{2}$
$= 2 \hat{i} + 3 \hat{j} + \hat{k}$

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Vectors and Their Types

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Chapter 23: Algebra of Vectors - Very Short Answers [Page 76]

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Very Short Answers | Q 32 | Page 76

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Find the Position Vector of the Mid-point of the Line Segment Ab, Where A Is the Point (3, 4, −2) And B Is the Point (1, 2, 4). - Mathematics

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