50 points find the specified vector or scalar. show your work. u = -4i + 1j and v = 4i + 1j; find |u+v|.

| u + v | = 2

u + v = - 4i + 1j + 4i + 1j = 2j

the magnitude of a vector ai + bj is

| ai + bj | = √(a² + b² )

for u + v = 0 + 2j

| u + v | = √(0² + 2² ) = √4 = 2

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

step-by-step explanation:

their are no angles. sorry cant .