If `| overset(to)(a) | =3 and | overset(to)(b) |=4, and | overset(to)( c) | =5` and each one of them is perpendicular to the sum of the other two, then find `| overset(to)( a) + overset(to)( b) + overset(to)( c) |`.

Let overset(to)(a) and overset(to)(b) be two unit vectors and theta is the angle between them. The overset(to)(a) + overset(to)(b) is a unit vector if :

Let overset(rarr)C = overset(rarr)A+overset(rarr)B then :

Write the IUPAC name of the compound overset(4)(CH_3) - overset(3)(C) -= overset(2)(C) - overset(1)(CH_3) .

Let overset(to)(a) =a_(1) hat(i) + a_(2) hat(j) + a_(3) hat(k) , overset(to)(b) = b_(1) hat(i) +b_(2) hat(j) +b_(3) hat(k) " and " overset(to)(c) = c_(1) hat(i) +c_(2) hat(j) + c_(3) hat(k) be three non- zero vectors such that overset(to)(c ) is a unit vectors perpendicular to both the vectors overset(to)(a ) and overset(to)(b) . If the angle between overset(to)(a) " and " overset(to)(b) is (pi)/(6) then |{:(a_(1),,a_(2),,a_(3)),(b_(1),,b_(2),,b_(3)),(c_(1),,c_(2),,c_(3)):}|^2 is equal to

Write the IUPAC name of the compound overset(4)(CH_3) - overset(3)(CH_2) - overset(2)(C) -= overset(1)(CH)

The end product of the reaction, Ethyl amine overset(HNO_(2))rarr(A)overset(PCl_(5))rarr(B)overset(KCN)rarr(C ) (C) is,

Give the IUPAC name of the for each of the following H_(3)C-overset(H)overset(|)C=overset(H)overset(|)C-CH_3

Write the systematic IUPAC names of the following compounds : H-overset(O) overset(||) C-overset(O ) overset(||) C - H

CH_(3) OH overset(PI_(3))(to) (A) overset(KCN)(to) (B) overset(H_(2)O//H)(to) (C ) The compound ( C ) is