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If veca+vecb+vecc=vec0 show that vecaxxv...

If `veca+vecb+vecc=vec0` show that `vecaxxvecb=vecbxxvecc=veccxxveca`. Interpret the result geometrically.

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coplanar
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If veca+vecb+vecc=vec0 , show that vecaxxvecb=veccxxveca . Interpret the result geometrically.

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If veca,vecb,vecc are coplanar then show that veca+vecb, vecb+vecc and vecc+veca are also coplanar.

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ACCURATE PUBLICATION-VECTOR ALGEBRA-QUESTIONS CARRYING 2 MARKS
  1. Using vectors find the area of the triangle whose vertices arc (0, 1 ,...

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  2. Using vectors, find the area of triangle whose vertices are (2,1,1),(2...

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  3. If veca+vecb+vecc=vec0 show that vecaxxvecb=vecbxxvecc=veccxxveca. Int...

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  4. If A, B and C are the vertices of a triangle ABC, prove sine formula t...

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  5. In a triangle OAC, if B is the mid point of side AC and vec(OA)=veca,v...

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  6. Find a unit vector parallel to the sum of the vectors hati+hatj+hatk a...

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  7. Find a vector of magnitude 5 units, and parallel to the resultant of t...

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  8. If the sum of two unit vectors is a unit vector, show that the magnitu...

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  9. Show that the points (-2,3,5), (1,2,3) and (7,0,-1) are collinear.

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  10. If a unit vector veca, makes angles pi/3with hati, pi/4wih hatj and...

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  11. Find a vector of magnitude 5sqrt(2) units which makes an angle of (pi)...

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  12. Write the value of the cosine of the angle which the vector veca=hati+...

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  13. If veca=2hati+2hatj+3hatk,vecb=-hati+2hatj+hatk and vecc=3hati+hatj ar...

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  14. The vectors veca=3hati+xhatj and vecb=2hati+hatj+yhatk are mutually pe...

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  15. Find the values of lamda for which the angle between the vectors veca=...

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  16. If veca and vecb are two unit vectors such that veca+vecb is also a un...

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  17. If veca and vecb are two vectors such that |veca+vecb|=|veca|, then pr...

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  18. Write the projection of the vector 7hati+hatj+4hatk on the vector 2hat...

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  19. If veca=hati+2hatj-hatk, vecb=2hati+hatj+hatk and vecc=5hati-4hatj+3ha...

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  20. Express the veca=5hati-2hatj+5hatk as sum of two vectors such that one...

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