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Prove that (vec(a)+vec(b)).(vec(a)+vec(b...

Prove that `(vec(a)+vec(b)).(vec(a)+vec(b)) = |vec(a)|^(2) + |vec(b)|^(2) ` , if and only if `vec(a) , vec(b) ` are perpendicular , given ` vec(a) 1= vec (0) , vec (b) != vec (0)`

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CHHAYA PUBLICATION-PRODUCTS OF TWO VECTORS-Exercise 2A ( Short answer type questions)
  1. If vec(a),vec(b),vec (c ) are non - coplanar vectors vec (r) . vec(a...

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  2. For the vector vec(a) and vec (b) if |vec(a) + vec(b)|= |vec(a) - vec...

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  3. Prove that (vec(a)+vec(b)).(vec(a)+vec(b)) = |vec(a)|^(2) + |vec(b)|^(...

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  4. If hat (i),hat (j) and hat (k) are unit vectors along three mutuaaly ...

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  5. If hat (i),hat (j) and hat (k) are unit vectors along three mutuaaly ...

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

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

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

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

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

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

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  12. In each of the following find a unit a vector perpendicular to both v...

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  13. In each of the following find a unit a vector perpendicular to both v...

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  14. In each of the following find a unit a vector perpendicular to both v...

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  15. In each of the following find a unit a vector perpendicular to both v...

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  16. If vec(a) = hat (i) + hat (j) - hat (k) , vec (b) = 2 hat (i) - 2 hat ...

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  17. If vec(a) = hat (i) + hat (j) - hat (k) , vec (b) = 2 hat (i) - 2 hat ...

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  18. Be vector method show that the points (2,-3,4),(-2,1,0)and (1,-2,3) ar...

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  19. If vec(alpha) = 2 hat (i) + hat (j) - 3 hat (k) and vec(beta) = hat (i...

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  20. If vec (a) + vec(b) + vec (c ) = vec(0) and |vec(a)| = 6 , |vec (b)| ...

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