Question

solve it very urgent please

Answer 1

resolution of 5N,
x - direction => -5sin45° = -5/√2 N
y - direction => 5cos45° = 5/√2 N

resolution of 3N,
x - direction => 3cos45° = 3/√2 N
y - direction => 3sin45° = 3/√2 N

resolution of 10N,
x - direction => 10cos45° = 10/√2 N
y - direction => -10sin45° = -10/√2 N

now, Resultant force = (-5/√2 + 3/√2 + 10/√2)i + (5/√2 + 3/√2 - 10/√2)j
= 8/√2 i - 2/√2 j
= 4√2 i - √2 j

so, magnitude = √{(4√2)² + (√2)²} = √(34)
direction = tan^-1(-√2/4√2) = tan^-1(-0.25) with x - axis.