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The angle between force vecF =(3hati+4ha...

The angle between force `vecF =(3hati+4hatj-5hatk)` unit and displacement `vecd = (5hati+4hatj+3hatk)` unit is

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cos`theta= vecF.vecd/Fd`
`=(3(5)4+(4)+(-5))/(sqrt(3^2+4^2+(-5)^2)(sqrt(5^2+4^2+3^2)`
`=(15+16-15)/(sqrt50sqrt50)=16/50=0.32`
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PATHFINDER-MOTION IN A PLANE-QUESTION BANK
  1. Under what conditions abs(vecA+vecB) =abs(vecA )+ absvecB hold good ?

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  2. Under what conditions abs(vecA+vecB) =abs(vecA )- absvecB hold good ?

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  3. The angle between force vecF =(3hati+4hatj-5hatk) unit and displacemen...

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  4. Can two non-zero vectors give result zero when they multiply each othe...

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  5. What is the difference between vecr,vecf and vecr xx vecf ?

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  6. Can three vectors not in a plane give zero resultant ? Can four vec...

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  7. The velocity of a projectile is 15m/s .At what angle to the horizontal...

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  8. Name the quantity which remains unchanged during the flight of an obli...

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  9. A bomb is dropped from an aeroplane flying horizontally with a velocit...

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  10. Is it possible to have two-dimensional motion with acceleration in onl...

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  11. The maximum range of a projectile is 2/sqrt3 times its actual range. W...

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  12. What is a null vector?

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  13. Show that vecA.vecB =1/4[abs(vecA+vecB)^2-abs(vecA-vecB)^2].

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  14. Name two quantities which would be reduced if air resistance is taken ...

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  15. The position vector of a point with time varies as athati+bt^2hatj.a a...

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  16. Two vectors of magnitude 3 and 4 give a resultant of magnitude 5 . Wha...

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  17. Two vectors of magnitude 4 and 5 give a resultant of magnitude 9 . Wha...

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  18. Mention two requirement for a given quantity to be a vector.

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  19. What is the angle between two velocity of same magnitude if the result...

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  20. State triangle law of of vector addition .

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