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Key Concepts
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1. Definition
The vector OP representing the position of point P relative to origin O is called the position vector of P.
2. Vector Joining Two Points
If P(x₁, y₁, z₁) and Q(x₂, y₂, z₂), then PQ = (x₂-x₁)i + (y₂-y₁)j + (z₂-z₁)k.
3. Section Formula
The position vector r of point R dividing the line joining vectors a and b in ratio m:n is:
r = (mb + na) / (m + n)