Position Vectors in 3D

00:00 2 marks

  • Build Confidence
  • HL
  • Tier 2
  • 3D coordinate systems
  • Vector representation
  • Position vectors

Given a point P(3, -2, 5) in three-dimensional space, express the position vector of P with respect to the origin.

Hint Hint

Hint

The position vector \(\vec{OP}\) starts at the origin O and ends at point P. Consider the coordinates of P as components of this vector.

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Complete Answer

\(\vec{OP} = 3\mathbf{i} – 2\mathbf{j} + 5\mathbf{k}\)

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