What does it mean vector in the positive dirction of the y-axis.

In summary: What does that tell you about the direction and magnitude of vector a?In summary, the magnitude of vector a is equal to that of vector b and it will be in the positive direction of the y axis. This can be represented as a vector in the form of pj, where p > 0. To visualize this, one can draw a set of axes, draw an arrow representing vector B, and add another vector to the end of B in a way that the resultant sum points vertically upwards. This shows that the direction and magnitude of vector a will be in the positive direction of the y axis.
  • #1
tebes
39
0

Homework Statement


If vector a is added to vector b = 7.4i + 7.7j, the result is a vector in the positive direction of the y axis, with a magnitude equal to that of vector b. What is the magnitude of vector a?

Homework Equations


The Attempt at a Solution


(Is the vector in the positive direction of the y-axis same positive direction of x-axis?
cosθ=u.v/||u|| ||v||
||ab||=5=||b||.
 
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  • #2
Positive direction of the y-axis is: pointing straight up. :smile:

Positive direction of the x-axis is: in a direction horizontally to the right.

This assumes the usual x-y orientation, with y-axis vertical, and x-axis horizontal.
 
  • #3
NascentOxygen said:
Positive direction of the y-axis is: pointing straight up. :smile:

Positive direction of the x-axis is: in a direction horizontally to the right.

This assumes the usual x-y orientation, with y-axis vertical, and x-axis horizontal.


Does it mean the vector of a,b,and ab are pointing in the same direction? Therefore, the angle of the c is lying on x-axis or y=axis ? :)
 
  • #4
May I have some hints for this question ?
:)
 
  • #5
tebes said:
Does it mean the vector of a,b,and ab are pointing in the same direction?
No. (Mind you, I don't know what you mean by "the vector of a,b,and ab", but the answer is still no.) :smile:

In fact, I don't know what you mean by "b = 7.4 + 7.7" either. What do you think you mean?
 
  • #6
NascentOxygen said:
No. (Mind you, I don't know what you mean by "the vector of a,b,and ab", but the answer is still no.) :smile:

In fact, I don't know what you mean by "b = 7.4 + 7.7" either. What do you think you mean?

I'm sorry for my "hanging" sentences. ( b=7.4i + 7.7j ).
 
  • #7
The question is fixed. :)
 
  • #8
tebes said:
The question is fixed. :)

And what about the answer? Also fixed?
 
  • #9
NascentOxygen said:
And what about the answer? Also fixed?
Unfortunately, no. I'm still thinking. I would be appreciate if you can help me out . :) thank you.
 
  • #10
A vector in "the positive direction of the y axis" will be in the form of pj, where p > 0 .
 
  • #11
Draw a set of axes. Draw an arrow representing vector B. Now, add another vector to the end of B, of a magnitude & direction that makes the resultant sum to be a vector that points vertically upwards.
 

FAQ: What does it mean vector in the positive dirction of the y-axis.

What is a vector?

A vector is a mathematical quantity that has both magnitude (size) and direction. It is typically represented by an arrow pointing in the direction of the vector with its length proportional to the magnitude.

What does "positive direction of the y-axis" mean?

The positive direction of the y-axis refers to the upward direction on a coordinate plane. This is typically denoted by the positive numbers on the y-axis, with the origin (0,0) at the bottom of the y-axis.

How is a vector in the positive direction of the y-axis represented?

A vector in the positive direction of the y-axis is typically represented as a column vector with a positive value in the y-component and a value of 0 in the x-component. It can also be represented as a unit vector, with a magnitude of 1, in the direction of the positive y-axis.

What is the difference between a vector and a scalar?

A vector has both magnitude and direction, while a scalar only has magnitude. For example, velocity is a vector quantity because it has both speed (magnitude) and direction, while speed is a scalar quantity because it only has magnitude.

What are some real-life examples of vectors in the positive direction of the y-axis?

Some examples of vectors in the positive direction of the y-axis include a ball being thrown straight up in the air, a person jumping off a diving board, and a rocket launching into space. In all of these cases, the objects are moving in the positive direction of the y-axis, either vertically or diagonally upwards.

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