Question

Vector A has a negative x component 3.30 units in length and a positive y component 2.02 units in length (a) Determine an expression for A in unit-vector notation. j) units (b) Determine the magnitude and direction of A magnitude direction unit(s) o counterclockwise from the positive x axis (e) what vector B when added to vector A, gives a resultant vector with no x component and a negative y component 4.14 units in length? j) units

Answer 1

a) A^rightarrow = -3.3 i + 2.02 j b) Magnitude = squareroot (-3.3)^2 + (2.02)^2 = 3.869 units theta = tan^-1 (2.02/-3.3) = 31.47 so direction implies 180 degree + 31.47 = 211.47 degree counterclockwise c) Let B^rightarrow = ai + bj A^rightarrow + B^rightarrow = (-3.3 + a) i + (2.02 = b) j so, a - 3.3 = 0 a = 3.3 & 2.02 + b = 4.14 b = 2.12 so B^rightarrow = 3.3 i = 2.12 j