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Let vec(a),vec(b),vec (c ) be the positi...

Let `vec(a),vec(b),vec (c )` be the positions vectors of the vertices of a triangle , prove that the area of the triangle is ` 1/2| vec(a) xx vec(b) + vec(b) xx vec(c)+ vec(c)xx vec(a)|`

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CHHAYA PUBLICATION-PRODUCTS OF TWO VECTORS-Exercise 2A ( Long answer type questions)
  1. Applying vectors , show that (a(1)b(1)+a(2)b(2)+a(3)b(3))^(2)le (a(1...

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  2. By vector method show that , an angle inscribed in a semi - circle i...

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  3. By vector method show that , the parallelogram whose diagonals are e...

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  4. By vector method show that , the perpendicular bsectors of the sides...

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  5. By vector method show that , median to the base of an isocales tria...

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  6. A(3,-1,2),B(2,-3,3) and C(1,-2,1) are three given points . Find the a...

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  7. Three vectors vec(a),vec(b),vec (c ) are such that vec(a) + vec(b) +...

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  8. The scaler product of the vector hat (i) + hat (j) + hat (k) with th...

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  9. Let vec(a) = 2 hat (i) + 2 hat (j) + 3 hat (k) , vec(b) = - hat(i)+ 2...

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  10. Let vec(a) = 2 hat (i) + 2 hat (j) + 2 hat (k) , vec(b)= - hat (i) + 2...

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  11. If hat (i) + hat (j) + hat (k) , 2 hat(i) + 5 hat (j) , 3 hat (i) + 2...

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  12. Express the vector vec(a) = 5 hat (i) - 2 hat (j) + 5 hat (k) as sum ...

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  13. If vec(a) = vec(0) or vec(b) = vec(0) then vec(a).vec(b) = 0 , show ...

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  14. If vec(a) = 3 hat (i) + 4 hat (j) - hat(k) , vec(b) = hat(i) - 3 hat (...

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  15. Let vec(a),vec(b),vec (c ) be the positions vectors of the vertices of...

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  16. Given vec (a) = 4 hat (i) + 5 hat (j) - hat (k), vec(b) = hat (i) - 4 ...

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