Writing a Vector Using Standard Basis Vectors

  1. \(\langle 4, 3\rangle = 4 \mathbf{i} + 3 \mathbf{j}\)
  2. \(\langle 2, -3\rangle = \dot{2}\mathbf{i} + (-3\dot{)}\mathbf{j} = 2 \mathbf{i} - 3 \mathbf{j}\)
  3. \(\langle 1, -3, 2\rangle = \mathbf{i}-3 \mathbf{j} + 2 \mathbf{k}\)
  4. \(\langle 0, 3, 4\rangle = 0 \mathbf{i} + 3 \mathbf{j} + 4 \mathbf{k} = 3 \mathbf{j} + 4 \mathbf{k}\)