Negative vector why isn't it choice 4.

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Homework Help Overview

The discussion revolves around the properties of vectors, specifically focusing on the vector B⃗ with a given magnitude and angle, and the implications of considering the vector -B⃗. Participants are examining the meaning of negative magnitudes and directions in the context of vector representation.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants question the validity of negative magnitudes for vectors and explore the implications of reversing a vector's direction. There is a discussion about the angle associated with the negative vector and its relation to the coordinate system.

Discussion Status

The conversation is exploring various interpretations of vector properties, particularly the concept of negative magnitude and direction. Some participants express clarity on the impossibility of negative magnitudes, while others are debating the correct angle representation in different quadrants.

Contextual Notes

There is an underlying assumption that the vector's properties must adhere to standard definitions in physics, and participants are navigating the implications of these definitions in their reasoning.

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Homework Statement



If the vector B⃗ has a magnitude of 45.0 m and makes an angle of 60.0 ∘ with the +x axis, the vector -B⃗
choices:
1. has a magnitude of 45.0 m
2. has the same direction as B⃗ , but a magnitude of − 45.0 m
3.makes an angle of − 60.0 ∘ with the +x axis
4. has the opposite direction of B⃗ and a magnitude of − 45.0 m

Homework Equations

The Attempt at a Solution


y axises
I -------45.0m diagonal
I 60 Degrees angle
<-(-x)-------------------+x--axises---->
I
I
-y axises
 
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What does it mean for magnitude to be negative? Does it make sense for the length of a vector to be negative?
 
Oh . I see. Thanks you . Magnitude can't be negative
So is it -60 with respect to the x causes because it's now in the third quadrant since the vector b negative is when you reverse the head and the tail of the arrow.
 
It would be -120. Not -60
 
Super clear ... thank you very much for your help.
 

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