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If | vec a|= a\ a n d\ | vec b|=b, prove...

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

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RD SHARMA ENGLISH-SCALAR OR DOT PRODUCT-All Questions
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  2. If vec c is perpendicular to both vec a\ a n d\ vec b , then prove ...

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

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

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

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

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

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

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  14. Using vector method, prove that the angel in a semi circle is a rig...

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  15. Prove that the cosine formula for triangles is equivalent to the de...

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  17. Prove that; If the diagonals of a quadrilateral bisect each other a...

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  18. (Pythagoras’s Theorem) Prove by vector method that in a right angle...

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