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If vec a= hat i-2 hat j+3 hat k , and ...

If ` vec a= hat i-2 hat j+3 hat k ,` and ` vec b=2 hat i+3 hat j-5 hat k` , then find ` vec ax vec b` . Verify that ` vec a` and ` vec ax vec b` are perpendicular to each other.

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RD SHARMA ENGLISH-VECTOR OR CROSS PRODUCT -All Questions
  1. Define vec axx vec b and prove that | vec axx vec b|=( vec a. vec...

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  2. Find the area of the triangle formed by O ,A ,B when vec O A= hat ...

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

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  4. If a ,b ,c are the lengths of sides, B C ,C A and A B of a trian...

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  5. (22) if vec p and vec qare unit vectors forming an angle of 30^@; find...

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  6. If vec p and vec q are unit vectors forming an angle of 30^0; ...

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  7. Find a unit vector perpendicular to each of the vectors vec(a) + vec(b...

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  8. Find the area of the parallelogram whose diagonals are : 4 hat i- ...

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  9. Find Find the area of the parallelogram determined by the vectors: 2 ...

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  10. Find a vector of magnitude 49, which is perpendicular to both the v...

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  11. If vec a=3 hat i- hat j-2 hat k and vec b=2 hat i+3 hat j+ hat k , ...

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  12. If vec a=3 hat i-2 hat k and vec b=- hat i+3 hat k , find | veca x...

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  13. Using vectors: Prove that if a,b,care the lengths of three sides of a ...

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  14. Prove by vector method that the parallelogram on the same base and ...

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  15. If D ,E ,F are the mid-points of the sides B C ,C Aa n dA B respective...

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  16. Let vec O A= vec a , vec O B=10 vec a+2 vec b ,a n d vec O C=bw h e r...

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  17. A B C D is quadrilateral such that vec A B= vec b , vec A D= vec d , ...

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  18. If veca , vec b , vec c are three vectors such that veca+ vec b+ vec...

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  19. Prove that the normal to the plane containing three points whose po...

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  20. If vec axx vec b= vec axx vec c , vec a!= vec0a n d vec b!= vec c , s...

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