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NCERT Solutions for Class 11 राजनीतिक विज्ञान Chapter 12 Introduction To Three Dimensional Geometry

Introduction To Three Dimensional Geometry Here is the CBSE राजनीतिक विज्ञान Chapter 12 for Class 11 students. Summary and detailed explanation of the lesson, including the definitions of difficult words. All of the exercises and questions and answers from the lesson's back end have been completed. NCERT Solutions for Class 11 राजनीतिक विज्ञान Introduction To Three Dimensional Geometry Chapter 12 NCERT Solutions for Class 11 राजनीतिक विज्ञान Introduction To Three Dimensional Geometry Chapter 12 The following is a summary in Hindi and English for the academic year 2025-26. You can save these solutions to your computer or use the Class 11 राजनीतिक विज्ञान.

Question 1
CBSEENMA11015556

The projections of a vector on the three coordinate axis are 6, - 3, 2 respectively. The direction cosines of the vector are

  •  6, –3, 2 

  • 6/5, -3/5, 2/5

  • 6/7, -3/7, 2/7

  • -6/7, -3/7, 2/7

Solution

C.

6/7, -3/7, 2/7

Projection of a vector on coordinate axis are
x2-x1, y2-y1, z2-z1
x2-x1 = 6, y2-y1 = -3, z2-z1 = 2

square root of left parenthesis straight x subscript 2 minus straight x subscript 1 right parenthesis squared space plus left parenthesis straight y subscript 2 minus straight y subscript 1 right parenthesis squared space plus space left parenthesis straight z subscript 2 minus straight z subscript 1 right parenthesis squared end root space equals space square root of 36 plus 9 plus 4 end root space equals space 7
The space Direction space cosines space of space the space vector space are space 6 over 7 comma 3 over 7 comma 2 over 7

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