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Find the magnitude of vec a=(hat i+3 hat...

Find the magnitude of `vec a=(hat i+3 hat j- 2 hat k)*(-hat i+3 hat k)`.

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Calculate the product ((hat i- 2 hat j+ 3 hat k) cross (2 hat i+ hat j- 3 hat k)) * (-3 hat i+ hat j+ 2 hat k ) .

Find λ if the vectors vec a = hat i+3 hat j +hat k, vec b=2 hat i- hat j- hat k and vec c=λ hat j+3 hat k are coplanar.

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PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. Taking vec a= 2 hat i-3 hat j- hat k and vec b=hat i+4 hat j-2 hat k, ...

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  2. If vec a=3 hat i+4 hat j and vec b=hat i-hat j+hat k, find the value o...

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  3. Find the magnitude of vec a=(hat i+3 hat j- 2 hat k)*(-hat i+3 hat k).

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  4. Given |quad vec a|=10,|quad vec b|=2 and vec a *vec b=12, find | vec a...

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  5. Define vec a*vec b where vec a and vec b are any two vectors. Find ve...

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  6. Find a unit vector perpendicular to both the vectors hat i-2 hat j+3 h...

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  7. Find a unit vector perpendicular to both the planes of vec a and vec b...

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  8. Find a unit vector perpendicular to the plane of two vectors a=hat(i)-...

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  9. Find the equation of a plane through the points (3,-1,2), (1,-1,-3) an...

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  10. Find a unit vector perpendicular to each of the vectors hat i+2 hat j+...

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  11. Find the sine of the angle between the vectors : (3,0,3) and (1,2,-7)

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  12. Find the sine of the angle between the vectors : 2 hat i+ 4 hat j+ 4 ...

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  13. Determine the area of the parallelogram whose adjacent sides are the ...

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  14. Find the area of the parallelogram having two adjacent sides OA and OB...

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  15. Find the area of triangle PQR where P,Q,R have respectively coordinate...

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  16. Find the area of the triangle formed by O,A,B where : vec OA= hat i+ ...

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  17. Find the area of the triangle formed by O,A,B where : vec OA= 3 hat i...

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  18. If vec axx vec b= vec cxxvec d and vec axx vec c= vec bxxvec d, show t...

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  19. Find the area of the triangle ABC where A,B,C are the points (a,0,0), ...

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  20. Find the area of the triangle having the points A(1,1,1), B(1,2,3) and...

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