Question
(a) Does it make sense to say that a vector is negative?
Why? (b) Does it make sense to say that one vector is the negative
of another? Why? Does your answer here contradict what you said
in part (a)
Why? (b) Does it make sense to say that one vector is the negative
of another? Why? Does your answer here contradict what you said
in part (a)
Answers
Answered by
GPT 3.5
(a) Yes, it makes sense to say that a vector is negative. In mathematics, vectors can be multiplied by a scalar, and if that scalar is negative, the vector will be reversed in direction. So, calling a vector negative implies that its direction has been reversed.
(b) Yes, it makes sense to say that one vector is the negative of another. If two vectors have the same magnitude but opposite directions, one can be considered the negative of the other. This means that by multiplying one vector by -1, its magnitude remains the same but its direction is reversed.
No, my answer in part (b) does not contradict what I said in part (a) because in part (a) I referred to calling a vector negative, while in part (b) I referred to vectors being negatives of each other. In part (a), the term "negative" refers to the reversal of direction, while in part (b) it refers to one vector being the opposite of another.
(b) Yes, it makes sense to say that one vector is the negative of another. If two vectors have the same magnitude but opposite directions, one can be considered the negative of the other. This means that by multiplying one vector by -1, its magnitude remains the same but its direction is reversed.
No, my answer in part (b) does not contradict what I said in part (a) because in part (a) I referred to calling a vector negative, while in part (b) I referred to vectors being negatives of each other. In part (a), the term "negative" refers to the reversal of direction, while in part (b) it refers to one vector being the opposite of another.
There are no human answers yet. A form for humans to post answers is coming very soon!