Equivalent Vectors...1

[nycmathguy]

Section 6.3

 

[MathLover1]

correct

 

[nycmathguy]

correct

I'm cooking with gas, a famous Ron Howard line on Happy Days.

 

[Country Boy]

Yes, if two vectors have different lengths, they are not equivalent. It is also true that if two vectors have different directions they are not equivalent, even if they have the same length!

 

[nycmathguy]

Yes, if two vectors have different lengths, they are not equivalent. It is also true that if two vectors have different directions they are not equivalent, even if they have the same length!

Thus vector idea is new to me.

 

[Country Boy]

A simpler way to determine if two vectors are equivalent is to use their "components". The vector from (8, 1) to (13, -1) has components 13- 8= 5 and -1- 1= -2. The vector from (-2, 4) to (-7, 6) has components -7- (-2)= -5 and 6- 4= 2. These vectors are NOT equivalent because they point in opposite directions.

 

[nycmathguy]

A simpler way to determine if two vectors are equivalent is to use their "components". The vector from (8, 1) to (13, -1) has components 13- 8= 5 and -1- 1= -2. The vector from (-2, 4) to (-7, 6) has components -7- (-2)= -5 and 6- 4= 2. These vectors are NOT equivalent because they point in opposite directions.

Ha x Ho x Hee.