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show that A =(vec A. vec A)^(1//2)....

show that ` A =(vec A. vec A)^(1//2)`.

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SL ARORA-Motion in a Plane-Excercise
  1. Give one example of dot product of vectors. Also give its unit.

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  2. What is the magnitude of the vector 2 hat i -3 hat j + sqrt3 hat k ?

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  3. show that A =(vec A. vec A)^(1//2).

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  4. Can the magnitude of the reultant vector of two given vectros be less ...

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  5. The magnitude of vectros vec A, vec B and vec C are 12, 5 and 13 units...

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  6. If vec A, vec B and vec C are mutually perpendicular vectors, then fi...

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  7. The angle between A=hat(i)+hat(j) " and " B=hat(i)-hat(j) is

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  8. A unit vector is represented by a hat I + b hat j +chatk If the valu...

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  9. Given four forces : vec F1 = 3 hat i - hat j + 9 hat k vec F2 = 2 hat ...

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  10. Two vectors of magnitudes 3 and 4 give a resultant of magnitude 1. Wha...

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  11. Two vectors of magnitudes 5 and 3 give a resultant of magnitude 2. Wha...

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  12. If a vector is added or subtracted from a vector, the resultant is a v...

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  13. Give an example of a physical quantity which can be represented as a v...

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  14. What is the angle between (vec A+ vec B) and (vec A xx vec B) ?

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  15. What is the angle between two vectors if the ratio of their dot produc...

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  16. If vec A xx vec B = 0, what can be said about the non-zero vectors ve...

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  17. What will be the angle between vec A and vec B , if the area of the pa...

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  18. Two vectors of magnitude A and sqrt3 A are perpendicular to each other...

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  19. Given vec A+ vec B+ vec C + vec D=0, can the magnitude of vec A + ve...

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  20. What are horizontal and vertical components of acceleration of a body ...

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