In each of the following cases, state whether {A = B or `A ne B`
A = {a,b,c,d,e}, B = {x : x is one of the first five letters of English alphabet}

In the following, state whether A = B or not: A= {a,b, c,d} B = { d, c, b,a }

In the following, state whether A = B or not: A ={2.4, 6, 8, 10} B = { x : x is positive even integer and x le 10 }

In the following, state whether A = B or not: A = { x : x is a multiple of 10}, B = { 10, 15,20,25,30, . . . }

Incase of each of the following statements, state whether it is true or false : If |vec a+ vec b| =|vec a- vec b| then the vectors vec a and vec b are orthogonal.

Incase of each of the following statements, state whether it is true or false : If vec a and vec b are the adjacent sides of a parallelogram, then vec a* vec b =0

Incase of each of the following statements, state whether it is true or false : If vec a and vec b are the adjacent sides of a rhomus, then (vec a+ vec b)*(vec a- vec b) ne 0 .

Incase of each of the following statements, state whether it is true or false : If vec a and vec b are the adjacent sides of a rhombus, then vec a * vec b= 0 .

State whether each of the following set is finite or infinite: The set of letters in the English alphabet

In case of each of the following statements, state whether it is true or false : If |vec a|= |vec b| then necessarily it implies that |vec a|= pm |vec b|

Examine whether the following statement is true or false: {a,e) sub {x:xisa vowel in the English alphabet)