Proving Parallel Vectors and Collinear Points in Vector Geometry
Learn how to prove two vectors are parallel, demonstrate colinearity, and understand the involvement of ratios in vector proofs. Explore examples and techniques for showing points lie on a straight line in vector geometry.
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Presentation Transcript
Parallel vectors 04/06/2025 LO: Can I show two vectors are parallel? (Grade 8) Success Criteria Understand how to show parallel vectors. (Grade 7) Proving colinear. (Grade 8) Involving ratio with proof. (Grade 9)
Proving vectors are parallel RS is a multiple of \
Straight lines Questions sometimes requires you to show points lie on a straight line or to use this property. For points to be on a straight line it means they are going in the same direction. This is also known as collinear. To do this you need to find two vectors which involves all three points in the same direction. For example Show OAC is a straight line If XYZ is a straight line then ?? must be a scalar multiple of ??
Another example M is the midpoint of CD and AX = 2XC BW: WC = 1:5 Show B, X, M are on a straight line
