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Two vectors vec(a) and vec(b) are such ...

Two vectors `vec(a) and vec(b) ` are such that `|vec(a)| = 2 , |vec(b)| = 1 ` and `vec(a) . vec(b) = 1 , ` then find the value of `(3 vec(a) - 5 vec(b)).(2 vec(a) + 7vec(b))`

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CHHAYA PUBLICATION-PRODUCTS OF TWO VECTORS-Exercise 2A ( Short answer type questions)
  1. Two vectors vec(a) and vec(b) are such that |vec(a)| = 2 , |vec(b)| =...

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  2. If |vec(a)| = 2, |vec(b)| = 3 and vec (a) . vec(b)= 3 , then find th...

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  3. If projection of vector lambda hat (i) - hat (j) on vector hat(i) + ...

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  4. If |vec(a)|= 4 and |vec(b)| = 3 find the value of lambda for which ...

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  5. The vectors vec(a),vec(b),vec (c ) are such that vec(a) + vec(b) + ve...

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

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  7. If vec(alpha) and vec (beta) are perpendicular to each other , show t...

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  8. If vec(alpha) and vec (beta) are perpendicular to each other , show t...

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

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

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

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

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

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

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

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

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

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

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

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

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