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If hat (i),hat (j) and hat (k) are unit...

If `hat (i),hat (j) and hat (k) ` are unit vectors along three mutuaaly perpendicular axes and `vec (a) = a_(1) hat (i) + a_(2) hat(j) + a_(3) hat (k) , vec(b) = b_(1) hat (i) + b_(2) hat (j) + b_(3) hat (k) and vec ( c ) = c_(1) hat(i) + c_(2) hat (j) + c_(3) hat (k)` prove that
` (vec(b)+vec(c))xx vec(a) = vec(b) xx vec(a) + vec(c) xx vec(a) `

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CHHAYA PUBLICATION-PRODUCTS OF TWO VECTORS-Exercise 2A ( Short answer type questions)
  1. Prove that (vec(a)+vec(b)).(vec(a)+vec(b)) = |vec(a)|^(2) + |vec(b)|^(...

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

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

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

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

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

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

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

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

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

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

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

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  19. Prove that , (vec(a) - vec(b)) xx (vec(a) + vec(b)) = 2 ( vec(a) ...

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  20. Prove that , ( vec(a) xx vec(b))^(2) + (vec (a).vec(b))^(2) = |ve...

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