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If veca = (3hati + hatj - 5hatk) and v...

If `veca = (3hati + hatj - 5hatk)` and `vecb = (hati + 2hatj - hatk)` then find a unit vector in the direction of `(veca-vecb)`.

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The correct Answer is:
`1/(sqrt(21)) (2hati - hatj - 4hatk)`
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RS AGGARWAL-VECTOR AND THEIR PROPERTIES-Exercise 22
  1. If veca = (2hati - 4hatj + 5hatk) then find the value of lambda so th...

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  2. If veca = (-hati + hatj - hatk) and vecb = (2hati- 2hatj + 2hatk) the...

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  3. If veca = (3hati + hatj - 5hatk) and vecb = (hati + 2hatj - hatk) th...

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  4. If veca = (hati - 2hatj -3hatk) and vecb = (2hati + 4hatj +9 hatk) the...

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  5. Find a vector of magnitude 9 units in the direction of the vector (-2h...

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  6. Find a vector of magnitude 8 units in the direction of the vector (5ha...

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  7. Find a vector of magnitude 21 units in the direction of the vector (2h...

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  8. If veca = (hati - 2hatj), vecb = (2hati - 3hatj) and vecc = (2hati + ...

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  9. If A(-2,1,2) and B(2,-1,6) are two given point, find a unit vector in ...

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  10. Find the direction ratios and direction cosines of the vector veca = (...

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  11. Find the direction ratios and the direction cosines of the vector join...

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  12. Show that the points A,B and C having position vectors (hati + 2hatj +...

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  13. The position vectors of the points A,B and C are (2hati + hatj - hatk)...

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  14. If the position vector of the vertices A,B and C of a DeltaABC be (hat...

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  15. Show that the points A,B and C having position vectors (3hati - 4hatj ...

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  16. Using vector method, show that the points A(1,-1,0), B(4,-3,1) and C(2...

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  17. Find the position vector of the point which divides the join of the po...

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  18. Find the position vector of a point R which divides the line joinin...

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  19. Find the position vector of a point R which divides the line joining ...

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  20. Find the position vector of the mid-point of the vector joining the po...

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