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If vec(a) = hat(i) + 2 hat(j) - 3 hat (k...

If `vec(a) = hat(i) + 2 hat(j) - 3 hat (k) and vec(beta) = 3 hat(i) - hat (j) + 2 hat (k) ` , find the cosine of the angle between the vectors `(2 vec(alpha)+ vec(beta))` and `(vec(alpha)+2 vec(beta))`

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CHHAYA PUBLICATION-PRODUCTS OF TWO VECTORS-Exercise 2A ( Short answer type questions)
  1. If vec(alpha) and vec (beta) are perpendicular to each other , show t...

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  2. A(p,1,-1), B (2p,0,2) and C(2+2p,p,p) are three points . Find the valu...

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

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  4. Show that the vector vec(a) is perpendicular to the vector vec(b) - (...

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  5. For any two vectors vec(a) and vec(b) , show that | vec (a).vec(b)| l...

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  6. If vec(a),vec(b),vec (c ) are non - coplanar vectors vec (r) . vec(a...

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

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

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

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

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

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

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

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

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

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

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

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

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

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