(linear algebra)
choose one of the following problems and determine whether the given set (together with the usual operations on that set) forms a vector space over r. in all cases, justify your answer carefully.
1. the set of polynomials of degree 5 or less whose coefficients are even integers.
2. the set of all polynomials of degree 5 or less whose coefficients of x^² and x^³ are zero.

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

practice. practice. practice.

b, 20 yards

step-by-step explanation: