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Find the angle between two vectors vec ...

Find the angle between two vectors ` vec a\ a n d\ vec b ,\ if:| vec a|=3,\ | vec b|=3\ a n d\ vec adot vec b=1`

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To find the angle between two vectors \(\vec{a}\) and \(\vec{b}\), we can use the formula for the dot product: \[ \vec{a} \cdot \vec{b} = |\vec{a}| |\vec{b}| \cos \theta \] Where: - \(\vec{a} \cdot \vec{b}\) is the dot product of the vectors, ...
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RD SHARMA-SCALAR OR DOT PRODUCT-Solved Examples And Exercises
  1. Find | vec a- vec b|,\ if:| vec a|=3,\ | vec b|=4\ a n d\ vec adot ve...

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  2. Find | vec a- vec b|,\ if:| vec a|=2,\ | vec b|=3\ a n d\ vec adot ve...

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

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  4. Express the vector vec a=5 hat i-2 hat j+5 hat k as the sum of two ve...

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  5. If vec a\ a n d\ vec b are two vectors of the same magnitude incline...

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  6. Express 2 hat i- hat j+3 hat k as the sum of a vector parallel a...

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  7. Decompose the vector 6 hat i-3 hat j-6 hat k into vectors which are pa...

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  8. Let vec a=5 hat i- hat j+7 hat k\ a n d\ vec b= hat i- hat j+lambda ...

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  9. If vec adot vec a=0\ a n d\ vec adot vec b=0\ what casn you conclud...

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  10. If vec c is perpendicular to both vec a\ a n d\ vec b , then prove ...

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  11. If | vec a|= a\ a n d\ | vec b|=b, prove that ( vec a/(a^2)- vec b/(b^...

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  12. If vec a ,\ vec b ,\ vec c are three non coplanar vectors such that...

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  13. If a vector vec a is perpendicular to two non collinear vectors vec ...

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  14. If vec a+ vec b+ vec c= vec0, show that the angle theta between the v...

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  15. Let vec u ,\ vec v\ a n d\ vec w be vector such vec u+ vec v+ vec ...

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  16. Let vec a=x^2 hat i+2 hat j-2 hat k ,\ vec b= hat i- hat j+ hat k\ a...

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  17. Find the value of x\ a n d\ y if the vectors vec a=3 hat i+x hat j- h...

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  18. If vec a\ a n d\ vec b are two non collinear unit vectors such that...

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  19. If vec a ,\ vec b are two vectors such that | vec a+ vec b|\ =| vec ...

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  20. Prove using vectors: The median to the base of an isosceles triangl...

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