Question

If a= i +3j, b= 2i+5j and c = 4i+2j
then find scalars x and y such that c=xa+yb​

Answer 1

Answer:

x = - 16,y =10

Step-by-step explanation:

Take xa+yb

= x(i +3j) +y(2i+5j)

= i (x+2y) + j (3x +5y)

But it is equal to c = 4i+2j

x+2y =4

3x+5y =2

By sloving we get

x = - 16

y = 10