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Find the magnitude of vector vec a=(3 h...

Find the magnitude of vector ` vec a=(3 hat k+4 hat j)xx( hat i+ hat j- hat k)dot`

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To find the magnitude of the vector cross product \(\vec{a} = (3\hat{k} + 4\hat{j}) \times (\hat{i} + \hat{j} - \hat{k})\), we will follow these steps: ### Step 1: Identify the vectors Let: \[ \vec{a} = 3\hat{k} + 4\hat{j} \] \[ ...
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Find the magnitude of vector vec a=(3hat k+4hat j)xx(hat i+hat j-hat k)

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Find the resultant of vectors vec a=hat i-hat j+2hat k and vec b=hat i+2hat j-4hat k. Find the unit vector in the direction of the resultant vector.

Find the angel between the vectors vec a=hat i-hat j+hat k and vec b=hat i+hat j-hat k

Find the angle between the vectors vec a=hat i-hat j+hat k and vec b=hat i+hat j-hat j-hat k

If a unit vector hat a in the plane of vec b=2 hato+ hat j& vec c= hat i- hat j+ hat k is such that vec a vec d where vec d= hat j+2 hat l , then hat a is ( hat i+ hat j+ hat k)/(sqrt(3)) (b) ( hat i- hat j+ hat k)/(sqrt(3)) (2 hat i+ hat j)/(sqrt(5)) (d) (2 hat i- hat j)/(sqrt(5))

Find the vector of magnitude 3, bisecting the angle between the vectors vec a=2hat i+hat j-hat k and vec b=hat i-2hat j+hat k

Find angle between the vectors vec a=hat i+hat j-hat k and vec b=hat i-hat j+hat k

If vec a= hat i+ hat j , vec b= hat j+ hat k , vec c= hat k+ hat i , then in the reciprocal system of vectors vec a , vec b , vec c reciprocal vec a of vector vec a is a. ( hat i+ hat j+ hat k)/2 b. ( hat i- hat j+ hat k)/2 c. (- hat i- hat j+ hat k)/2 d. ( hat i+ hat j- hat k)/2

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RD SHARMA-VECTOR OR CROSS PRODUCT -Solved Examples And Exercises
  1. Find a unit vector perpendicular to both the vectors 4 hat i- hat j+3 ...

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  2. Find a unit vector perpendicular to the lane containing the vectors v...

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  3. Find the magnitude of vector vec a=(3 hat k+4 hat j)xx( hat i+ hat j-...

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  4. If vec a=4 hat i+3 hat j+ hat k\ a n d\ vec b= hat i-2 hat k\ t h e ...

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

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

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  7. Find a vector whose length is 3 and which is perpendicular to the v...

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  8. Find the area of the parallelogram determined by the vectors: 2 hat i\...

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

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  10. Find the area of the parallelogram determined by the vectors: 3 hat i+...

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  11. Find the area of the parallelogram determined by the vectors: hat i-3...

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

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  13. Find the area of the parallelogram whose diagonals are: 2 hat i+ hat k...

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  14. Find the area of the parallelogram whose diagonals are: 3 hat i+4 hat ...

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  15. If a=2i+5j-7k ,\ b=-3i+4j+k\ a n d\ c=i-2j-3k ,\ compute ( vec axx ve...

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  16. If | vec a|=2,\ | vec b|=5\ a n d\ | vec axx vec b|=8,\ find veca.v...

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  17. Given a=1/7(2 hat i+3 hat j+6 hat k),vec b=1/7(3 hat i-6 hat j+2 hat k...

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  18. If | vec a|=13 , | vec b|=5 and vec adot vec b=60 , then find | vec ...

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  19. If vec axx vec b= vec bxx vec c!=0,\ then show that vec a+ vec c=m ...

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  20. Find the angle between two vectors vec a\ a n d\ vec b , if | vec ax...

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