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If (a + b).(a-b) = 0 show that |a| = |b|...

If `(a + b).(a-b) = 0` show that `|a| = |b|`.

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The correct Answer is:
`|a| = |b|^(2)`
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ARIHANT PUBLICATION-VECTOR ALGEBRA -Odisha Bureau.s Textbook Solutions (Exercise 12(b))
  1. Find the value of lambda so that the vectors veca and vecb are perpend...

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  2. Find the scalar and vector projection of veca on vecb. veca = hati, v...

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  3. Find the scalar and vector projections of vec a on vec b vec a = ha...

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  4. Find the scalar and vector projections of vec a on vec b vec a = hat...

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  5. In each of the problems given below, find the work done by a force F a...

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  6. In each of the problems given below, find the work done by a force F a...

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  7. In each of the problems given below, find the work done by a force vec...

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  8. In each of the problems given below, find the work done by a force F a...

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  9. If (a + b).(a-b) = 0 show that |a| = |b|.

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  10. If a and b are perpendicular vectors show that (veca+vecb)^2 = (veca-v...

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  11. Prove that two vactors are perpendicular iff |veca+vecb|^2 = |veca|^...

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  12. If veca, vecb, vecc are mutually perpendicular vectors of equal magnit...

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  13. Prove the following by vector method. Altitudes of a triangle are conc...

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  14. Prove the following by vector method. Median to the base of an isoscel...

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  15. Prove the following by vector method. The parallelogram whose diagonal...

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  16. Prove the following by vector method. The diagonals of a rhombus are a...

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  17. Prove the following by vector method. An angle inscribed in a semi-cir...

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  18. Prove the following by vector method. in any triangle ABC, a = bcosC...

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  19. Prove the following by vector method. In a triangle AOB, mangleAOB = 9...

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  20. Prove the following by vector method. Measure of the angle between two...

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