Practice: Cross Product in 2D

All the sides of rhombus 𝑂𝐵𝐶𝐴 are of length 5. Suppose that sin𝐴𝑂𝐵=34 and that 𝐴𝐵>𝑂𝐶. Use vector multiplication to find the lengths of the two diagonals.

  • A𝑂𝐶=4.11, 𝐴𝐵=9.11
  • B𝑂𝐶=1.84, 𝐴𝐵=4.08
  • C𝑂𝐶=4.11, 𝐴𝐵=3.27
  • D𝑂𝐶=16.93, 𝐴𝐵=26.54

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