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Prove that the sum of three vectors d...

Prove that the sum of three vectors determined by the medians of a triangle directed from the vertices is zero.

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CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
  1. If non-zero vectors vec a and vec b are equally inclined to coplanar ...

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  2. If A(-4,0,3) and B(14 ,2,-5), then which one of the following points l...

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  3. Prove that the sum of three vectors determined by the medians of a ...

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  4. Prove that the resultant of two forces acting at point O and repres...

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  5. Two forces vec A B and vec A D are acting at vertex A of a quadrilat...

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  6. ABC is a triangle and P any point on BC. If vec(PQ) is the sum of vec(...

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  7. If vector vec a+ vec b bisects the angle between vec a and vec b , ...

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  8. ABCDE is a pentagon. Prove that the resultant of force vec A B , vec...

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  9. if vec (AO) + vec (O B) = vec (B O) + vec (O C) ,than prove that B...

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  10. A unit vector of modulus 2 is equally inclined to x- and y-axes at an ...

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  11. Find the equations of the normal to the curve y=x^3+2x+6 which are par...

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  12. Let vec a , vec b and vec c be unit vectors such that vec a+ vec b- ...

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  13. If the resultant of three forces vec F1=p hat i+3 hat j- hat k , ve...

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

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  15. Statement 1:Let A( vec a),B( vec b)a n dC( vec c) be three points such...

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  16. Statement 1: If | vec a+ vec b|=| vec a- vec b|, then vec a and vec b ...

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  17. Statement 1: vec a=3 vec i+p vec j+3 vec k and vec b=2 vec i+3 vec j...

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  18. The position vectors of the vertices A ,Ba n dC of a triangle are th...

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  19. If | vec a|=| vec b|=| vec a+ vec b|=1, then find the value of | vec a...

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  20. Column I, Column II Collinear vectors, p. vec a Coinitial vec...

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