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If vecP+vecQ=vecR and vecP-vecQ=vecS, pr...

If `vecP+vecQ=vecR` and `vecP-vecQ=vecS`, prove that `vecR^2+vecS^2=2(vecP^2+vecQ^2)`

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NN GHOSH-VECTOR AND SCALARS-All Questions
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  7. Prove that (vecaxxvecb)^2=veca^2b^2-(veca.vecb)^2.

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  8. Show that if two vectors are equal in magnitude, their vector sum and ...

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  9. Find the area of the parallelogram whose sides are represented by 2h...

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  11. Find the equation of a line through a point C of position vector vec c...

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  12. Find the moment of a force , vecF=3veci+2vecj acting at point vecr=vec...

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  13. If vecP+vecQ=vecR and vecP-vecQ=vecS, prove that vecR^2+vecS^2=2(vecP^...

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  14. Show that a vector remains invariant (unchanged ) under rotation of co...

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  15. Find the components of a vector vecA=2hati+3hatj along the directions ...

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  20. Using vector method prove that in any triangle ABC a^2=b^2+c^2-2bc cos...

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