In each of the following problems, components of `vec AB` along X-axis and Y-axis are respectively `a_1` and `a_ 2`. Find the point B when:
` a _1= -2, a_2= -4, A(-1,-2)`.

In each of the following problems, components of vec AB along X-axis and Y-axis are respectively a_1 and a_2 . Find the point B when: a _1= -5, a_2= 4, A(7,8) .

In each of the following problems, components of vec AB along X-axis and Y-axis are respectively a underset 1 and a underset 2 . Find the point B when: a underset 1 = 2, a underset 2 = 3, A(2,-3) .

If A is the point (1,2) and the vector vec AB has components 2 and 6, find the point B.

The vector vec v= vec AB has components 3,-4 and 5 and the point A has the coordinates(2,-3,1). Find the point B.

If the points A and B are (1,2,-1) and (2,1,-1) respectively, then vec(AB) is :

Write the first six terms of following sequence : a_1= a_2=2, a_n= a_(n-1) -1, (n>2) .

Find the first five terms of the following sequence and obtain the corresponding series : a_1 = a_2 = 3 , a_n = a_(n-2) + 1 , n ge 3

Write the first five terms of the sequences given below and obtain the corresponding series: a_1=a_2 =2, a_n=a_(n-1)-1 , n>2

Let the area of a given triangle ABC be Delta . Points A_1, B_1, and C_1 , are the mid points of the sides BC,CA and AB respectively. Point A_2 is the mid point of CA_1 . Lines C_1A_1 and A A_2 meet the median BB_1 points E and D respectively. If Delta_1 be the area of the quadrilateral A_1A_2DE , using vectors or otherwise find the value of Delta_1/Delta