A prime number is a factor of 42 and 45 what is the prime number

Common factors between the two numbers is 3 and 1.

Step-by-step explanation:

The factors of 42 are 42, 21, 14, 7, 6, 3, 2, 1.

The factors of 45 are 45, 15, 9, 5, 3, 1.

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