- #1
Teggles
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"If u and v are any two vectors of the same length, use the dot product to show that
u + v is perpendicular to u − v. What fact from geometry is does this represent."
This is basically the last question in an assignment on vectors (first year university, linear algebra). The questions all focus on things like equations of planes, angles of intersection etc. that require little insight. This one however seems to require quite a lot of insight.
I understand how to calculate the dot product, cross product, length of vectors, angle between vectors, etc., but I don't even know where to start here.
If anyone could help me through this, it'd be extremely appreciated :)
u + v is perpendicular to u − v. What fact from geometry is does this represent."
This is basically the last question in an assignment on vectors (first year university, linear algebra). The questions all focus on things like equations of planes, angles of intersection etc. that require little insight. This one however seems to require quite a lot of insight.
I understand how to calculate the dot product, cross product, length of vectors, angle between vectors, etc., but I don't even know where to start here.
If anyone could help me through this, it'd be extremely appreciated :)
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