Write the vector v in terms of i and j whose magnitude and direction angle θ are given. = 8, θ = 30° a. v = 4i + 4sqrt3j b. v = -4sqrt3i + 4j c. v = 4sqrt3i + 4j d. v = 4sqrt2i + 4sqrt2j

Given: ae ≅ ce ; de ≅ be prove: abcd is a parallelogram. we have that ab || dc. by a similar argument used to prove that △aeb ≅ △ced, we can show that △ ≅ △ceb by. so, ∠cad ≅ ∠ by cpctc. therefore, ad || bc by the converse of the theorem. since both pair of opposite sides are parallel, quadrilateral abcd is a parallelogram.