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Find a unit vector perpendicular to each of the vectors ` vec a+ vec b\ a n d\ vec a- vec b ,\ w h e r e\ vec a=3 hat i+2 hat j+2 hat k\ a n d\ vec b= hat i+2 hat j-2 hat kdot`

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RD SHARMA-VECTOR OR CROSS PRODUCT -Solved Examples And Exercises
  1. Find the area of the triangle formed by O ,\ A ,\ B\ w h e n\ O A= hat...

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  2. Let vec a= hat i+4 hat j+2 hat k ,\ vec b=3 hat i-2 hat j+7 hat k\ a...

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  3. Find a unit vector perpendicular to each of the vectors vec a+ vec b\...

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  4. Using vectors, find the area of triangle with vertices A(2,3,5), B(3,5...

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  5. If vec a=2 hat i-3 hat j+ hat k ,\ vec b=- hat i+ hat k ,\ vec c=2 ...

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  6. The two adjacent sides of a parallelogram are 2 hat i-4 hat j+5 hat k ...

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  7. If either -> a= ->0 and -> b= ->0 then -> axx -> b= ->0 . Is ...

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  8. If vec a=a1 hat i+a2 hat j+a3 hat k ,\ vec b=b1 hat i+b2 hat j+b3 ha...

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  9. Using vectors, find the area of the triangle with vertices A(1,1,2),\ ...

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  10. Find all vectors of magnitude 10sqrt(3) that are perpendicular to the ...

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  11. Define vector product of two vectors.

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  12. Write the value ( hat ixx hat j)dot hat k+ hat idot hat jdot

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  13. Write the value of hat idot( hat jxx hat k)+ hat jdot( hat kxx hat i)...

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  14. Write the value of hat idot( hat jxx hat k)+ hat jdot( hat kxx hat i)...

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  15. Write the value of hat ixx( hat j+ hat k)+ hat jxx( hat k+ hat i)+ ha...

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  16. Write the expression for the area of the parallelogram having vec a\ ...

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  17. If vec a\ a n d\ vec b are unit vectors then write the value of | ve...

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  18. If vec a\ a n d\ vec b are two vectors of magnitudes 3 and (sqrt(2))...

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  19. If | vec a|=10 ,\ | vec b|=2\ a n d\ | vec axx vec b|=16 find vec ...

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  20. For any two vectors vec a\ a n d\ vec b , find veca.( vecbxx veca)d...

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