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Write all the unit vectors in X Y-p l a ...

Write all the unit vectors in `X Y-p l a n edot`

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Let, `vecr = x hat i + y hat j` be the unit vector `vecOP` in `XY` plane.
From `P` draw `PM ` is perpendicular to`OX`
In right angled triangle, `triangle OMP`
`x/1 = costheta` , `y/1 = sin theta`
...
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NCERT-VECTOR ALGEBRA-SOLVED EXAMPLES
  1. Let vec a= hat i+2 hat jand vecb=2 hat i+ hat j. Is | vec a|=| vec b...

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  2. Find unit vector in the direction of vector vec a=2 hat i+3 hat j+ ha...

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  3. Find a vector in the direction of vector vec a= hat i-2 hat jthat has...

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  4. If with reference to the right handed system of mutually perpendicula...

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  5. Find | vec a xx vec b|,if vec a=2 hat i+ hat j+3 hat k and vec b=3 h...

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  6. Find a unit vector perpendicular to each of the vectors ( veca+ vecb)...

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  7. For any two vectors vec a and vec b, we always have |vec a+ vec b|<=|v...

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  8. Show that the points A(-2 hat i+3 hat j+5 hat k), B( hat i+2 hat j+3 h...

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  9. Write all the unit vectors in X Y-p l a n edot

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  10. If hat i+ hat j+ hat k ,2 hat i+5 hat j ,3 hat i+2 hat j-3 hat kand ...

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  11. Find the area of a triangle having the pointsA(1, 1, 1), B(1, 2, 3)and...

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  12. Find the area of a parallelogram whose adjacent sides are given by th...

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  13. Let vec a , vec b and vec cbe three vectors such that | vec a|=3,|...

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  14. Three vectors vec( a), vec(b) and vec(c) satisfy the co...

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  15. Find lambda if the vectors veca= hat i+3\ hat j+ hat k , vecb=2 hat...

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  16. Prove that [ -> a , -> b , -> c+ -> d]=[ -> a , -> b , -> c]+[ -> a , ...

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  17. Show that the vectors -> a= hat i-2\ hat j+3 hat k , -> b=\ 2 hat i...

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  18. Find vec a . ( vec b xx vec c), if vec a=2 hat i+ hat j+3 hat k , ve...

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  19. Prove that [ veca+ vecb , vecb+ vecc , vecc+ veca]=2[ veca , vecb , ve...

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  20. Show that the four points A, B, C and D with position vectors4 hat i+...

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