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If veca, vecb and vecc are mutually perp...

If `veca, vecb and vecc` are mutually perpendicular, show that `[veca.(vecb xx vecc)]^(2) = a^(2)b^(2)c^(2)`.

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`a^(2)b^(2)c^(2)`
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ARIHANT PUBLICATION-VECTOR ALGEBRA -Odisha Bureau.s Textbook Solutions (Exercise 12(d))
  1. Each question given below has four possible answers out of which only ...

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  2. (-veca).vecbxx(-vecc)) =

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  3. Each question given below have four possible answers, out of which onl...

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  4. Find the scalar triple product b.(c xx a) where a, b and c are respect...

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  5. Find the scalar triple product b.(c xx a) where a, b and c are respect...

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  6. Find the volume of the parallelopiped whose sides given by the vectors...

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  7. Find the volume of the Parallelepiped whose sides are given by the vec...

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  8. Show that the following vectors are coplanar. hat(i) - 2hat(j) + 2ha...

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  9. Show that the following vectors are coplanar. hat(i) + 2hat(j) + 3h...

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  10. Find the value of lambda so that the three vectors are coplanar. hat...

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  11. Find the value of lambda so that the three vectors are co-planar. (2,-...

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  12. If veca, vecb and vecc are mutually perpendicular, show that [veca.(ve...

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  13. Prove that for any three vectors vec(a), vec(b) and vec(c), [vec(a) + ...

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  14. Prove that [(veca xx vecb,vecb xx vecc,vecc xx veca)] = [(veca,vecb,ve...

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  15. For veca = hat(i) + hat(j), vecb = -hat(i) + 2hat(k), vecc = hat(j) + ...

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  16. Prove that veca xx (vecb xx vecc) + vecb xx (vecc xx veca) + vecc xx (...

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  17. If hat(a), hat(b), hat(c) are unit vectors and hat(a) xx (hat(b) xx ha...

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