If a - b = 2.4c, a + b = 5.8c, and c = 1.3i + 4.9j, then what are (a) the x component of a, (b) the y component of a, (c) the x component of b, and (d) the y component of b?

Question

If a - b = 2.4c, a + b = 5.8c, and c = 1.3i + 4.9j, then what are (a) the x component of a, (b) the y component of a, (c) the x component of b, and (d) the y component of b?
a, b, and c are vectors

bobpursley · Answer

a-b=2c=2.6i+9.9j
a+b=5.8c=7.54i+28.42j

add the equations
2a=10.14i +38.32i then find a.

given a, use either equation to find b.

It is odd of your instructor to give i,j vector notation, then ask you for x,y components. Is x in the i direction? Is j in the y direction? You really ought to be consistent in your vector direction notation.