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If ` vec a ,\ vec b ,\ vec c` be the vectors represented by the sides of a triangle, taken in order, then prove that ` vec a+ vec b+ vec c= vec0dot`

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To prove that the sum of the vectors representing the sides of a triangle is zero, we can follow these steps: ### Step-by-Step Solution: 1. **Define the Vectors**: Let the vectors representing the sides of the triangle be: - \( \vec{a} \) = vector from point A to point B (AB) - \( \vec{b} \) = vector from point B to point C (BC) ...
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RD SHARMA-ALGEBRA OF VECTORS-Solved Examples And Exercises
  1. In Fig. A B C D is a regular hexagon, which vectors are: Collinear ...

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  2. Answer the following as true or flase: vec a and vec b are collin...

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  3. If vec a ,\ vec b ,\ vec c be the vectors represented by the sides ...

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  4. If P ,Q and R are three collinear points such that vec P Q= vec a ...

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  5. Give a condition that three vectors vec a , vec b and vec c from ...

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  6. If vec a and vec b are two non-collinear vectors having the same ...

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  7. If vec a is a vector and m is a scalar such that m vec a= vec0 ...

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  8. If vec a , vec b are two vectors, then write the truth value of th...

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  9. If vec a , vec b are two vectors, then write the truth value of th...

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  10. If vec a , vec b are two vectors, then write the truth value of th...

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  11. A B C D is a quadrilateral. Find the sum the vectors vec B A , ve...

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  12. A B C D E is pentagon, prove that vec A B + vec B C + vec C D ...

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  13. A B C D E is pentagon, prove that vec A B + vec B C + vec C D ...

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  14. Prove that the sum of all vectors drawn from the centre of a regular ...

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  15. If P is a point and A B C D is a quadrilateral and vec A P+ vec...

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  16. Five forces vec A B , vec A C , vec A D , vec A E and vec A F act...

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  17. The position vectors of A, B,C and D are vec a , vec b , vec 2a+ vec ...

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  18. Let ABCD be as parallelogram. If vec a ,\ vec b ,\ vec c be the pos...

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  19. Find the position vector of a point R which divides the line segment ...

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  20. Let vec a , vec b , vec c , vec d be the position vectors of the four...

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