Which of the following are independent events?
O
A. Knowing that you have to get up early tomorrow, and going to bed
before 9 p. m.
B. Knowing that you have a test in school tomorrow, and studying the
night before
O
C. Knowing that it is going to rain tomorrow, and going to bed before
9 p. m.
O
D. Knowing that it is going to rain tomorrow, and bringing an umbrella
to school

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