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Define vec a*vec b where vec a and vec ...

Define `vec a*vec b` where `vec a` and `vec b` are any two vectors. Find `vec a*vec b` if `|quad vec a|=2`, `|quad vec b|=5` .

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PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. Find the magnitude of vec a=(hat i+3 hat j- 2 hat k)*(-hat i+3 hat k).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. If vec a= 2 hat i+ hat j- hat k, vec b= -hat i+ 2 hat j- 4 hat k and v...

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

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