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The vector equation of the line passing through the points (3, 5, 4) and (5, 8, 11) is.

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Question

The vector equation of the line passing through the points (3, 5, 4) and (5, 8, 11) is.

Options

  • True

  • False

MCQ
True or False
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Solution

This statement is True.

Explanation:

The position vector of the points (3, 5, 4) and (5, 8,11) are

`veca = 3hati + 5hatj + 4hatk`

`vecb = 5hati + 8hatj + 11hatk`

And therefore, the required equation of the line is given by

`vecr = 3hati + 5hatj + 4hatk + lambda(2hati + 3hatj + 7hatk)`

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Chapter 12: Introduction to Three Dimensional Geometry - Solved Examples [Page 234]

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NCERT Exemplar Mathematics [English] Class 11
Chapter 12 Introduction to Three Dimensional Geometry
Solved Examples | Q 24 | Page 234

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