Understanding Vectors: Evaluating Component Relationships

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If the component of vector A along the direction of vector B is zero, it indicates that the two vectors are perpendicular to each other. This means that they do not influence each other's direction, confirming that their angle is 90 degrees. The discussion also touches on the possibility of vectors having unequal magnitudes and being opposite in direction, but this does not apply if the component is zero. The participants are encouraged to explore their reasoning further. Understanding the relationship between vector components is crucial for evaluating vector interactions.
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If the component of vector A along the direction of vector B is zero, what can you conclude about these two vectors?
 
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Good question. What do you think? I (we ...) would be happy to explain why your reasoning is correct or incorrect if you take a stab at it.
 
The angle between the vectors is 45°.
The vectors have unequal magnitudes and are opposite in direction.
The vectors are perpendicular.
The vectors have the same direction.

these are the possible answers.
im thinking that the vectors are perpendicular by I am not entirely sure
 

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