If either vecotor `oversetrarra=oversetrarr0 " or " oversetrarrb=oversetrarr0, "then "oversetrarra.oversetrarrb=0.`But the converse need
not be true. Justify your answer with an example.

If either veca=vec0"or" vecb =vec0, "then"vecaxxvecb=vec0 .Is the converse true? Justify your answer with an example.

Given that oversetrarra.oversetrarrb=0"and"oversetrarraxxoversetrarrb=oversetrarr0 .What can you conclude about the vectors oversetrarra" and "oversetrarrb.

In triangle ABC, which of the following is not true. a) oversetrarr(AB)+oversetrarr(BC) + oversetrarr(CA) =oversetrarr0 b) oversetrarr(AB) +oversetrarr(BC) - oversetrarr(AC) =oversetrarr0 c) oversetrarr(AB) + oversetrarr(BC) -oversetrarr(CA) = oversetrarr0 d) oversetrarr(AB) - oversetrarr(CB) +oversetrarr(CA) =oversetrarr0

Choose the correct answer from the bracket. Verify your answer. int_0^(n/2)sinxdx

Write a function which is not continuous at x=0 and justify your answer

Find lambda and mu if (2overset^^i+6overset^^j+27overset^^k)xx(overset^^i+lambdaoverset^^j+muoverset^^k)=oversetrarr0 .

Can a body have a charge of 0.8 xx 10^(-19)C ? Justify your answer by comment?

In a classroom discussion about order and moleculrity of a reaction,Ramu argued that ''there are reactions which appear to be of higher order but actually follows first order kinetics''How far is his statement true? Give your opinion in this regard. Justify your answer using suitable example.

A student connects an ac source of emf (V = V_0 sin omega t) in series with a circuit having a capacitor of capacitance C. If he replaces the ac source by a dc source and connects a bulb in the above circuit, whether the bulb glows or not. Justify your answer.