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hati and hatj are unit vectors along x-a...

`hati` and `hatj` are unit vectors along x-axis and y-axis respectively what is the magnitude and direction of the vector `hati+hatj` and `hati-hatj` ? What are the magnitudes of components of a vector `veca=2hati+3hatj` along the directions of `hati+hatj and hati-hatj`?

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ANURAG MISHRA-DESCRIPTION OF MOTION-Example
  1. A particle has co-ordinates (x, y). Its position vector makes on angle...

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  2. If two non-zero vectors vecA and vecB obey the relation vecA+vecB=vecA...

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  3. hati and hatj are unit vectors along x-axis and y-axis respectively wh...

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  4. Given veca=hati+2hatj+3hatk,vecb=-hati++2hatj+hatk and vec c=3hati+hat...

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  5. If veca=2hati+3hatj+6hatk and vecb=6hati+3hatj-2hatk, find the angle, ...

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  6. A cyclist starting from a point A travels 200m due north to a point B ...

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  7. A particle is travelling in a straight line, it has a initial velocity...

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  8. A particle moves in a straight line with constant velocity of 5 ms^(-1...

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  9. Differentiate (a). f(x)=(1)/(x^(2)) (b). y=root2(x^(2))

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  10. Find the points on the curve y=x^(4)-6x^(2)+4 where the tangent line i...

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  11. if f(x)=xe^(x) find f'(x)

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  12. Differentiate the function f(t)=sqrt(t)(1-t)

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  13. if f(x)=sqrt(xg)(x) where g(4)=2 and g(4)=3,findf(4)

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  14. Find an equation of the tangent line to the curve y=e^(x)//(1+x^(2)) a...

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  15. differentiate y=x^(2)sinx.

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  16. Differentiate y=tanx

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  17. Find F'(x) if (F(x)=sqrt(x^(2)+1))

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  18. Differentiate y=(x^(3)-1)^(100)

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  19. Find f(x) if f(x)=(1)/(root3(x^(2)+x+1))

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  20. find the derivative of the function g(t)=((t-2)/(2t+1))^(9)

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