A child with blood group A has father with blood group B and the mother with blood group AB. Choose the option that gives the correct genotypes of father, mother, and the child:

Blood group inheritance follows Mendelian genetics. The genotypes are determined by the alleles inherited from the parents:
IA i (A allele and O allele).IB i (B allele and O allele).IA IB (both A and B alleles are expressed).Now, let's analyze the parental blood groups and their possible offspring:
IB i.IA IB.IA allele. Therefore, the child’s genotype is IA i, receiving IA from the mother and i from the father.Thus, the genotypes of the father, mother, and child are:
IB iIA IBIA iTherefore, the correct answer is Option (A).
If vector \( \mathbf{a} = 3 \hat{i} + 2 \hat{j} - \hat{k} \) \text{ and } \( \mathbf{b} = \hat{i} - \hat{j} + \hat{k} \), then which of the following is correct?