Two vectors are defined as follows: A⃗ =(−2.2m)x^ and B⃗ =(1.4m)y^
Is the magnitude of 1.4 A⃗ greater than, less than, or equal to the magnitude of 2.2 B⃗ ?

1) |1.4A⃗ | is greater than |2.2B⃗ |
2) |1.4A⃗ | is less than |2.2B⃗ |
3) |1.4A⃗ | is equal to |2.2B⃗ |

Explain Please!!

Question

Two vectors are defined as follows: A⃗ =(−2.2m)x^ and B⃗ =(1.4m)y^ 
Is the magnitude of 1.4 A⃗  greater than, less than, or equal to the magnitude of 2.2 B⃗ ?

1)  	|1.4A⃗ | is greater than |2.2B⃗ |
	2)  |1.4A⃗ | is less than |2.2B⃗ |
	3)  |1.4A⃗ | is equal to |2.2B⃗ |
 
Explain Please!!

anonymous · Answer

@ProfBrainstorm

anonymous · Answer

the magnitude of any non zero vector is positive - that should help

anonymous · Answer

sorry haha this is my first physics class ever haha

anonymous · Answer

from the information given, what is the magnitude of A ?

anonymous · Answer

-2.2

anonymous · Answer

right

anonymous · Answer

that is the x component, which happens to be the only component of this vector
but the magnitude is always positive, like i said above

anonymous · Answer

imagine drawing that vector x, and ask yourself, how long is it - that is the magnitude

anonymous · Answer

sorry, A, not x

anonymous · Answer

im confused haha i thought -2.2 was the magnitude.. so i should just draw the 1.4 for A?

anonymous · Answer

look again at what A is, in the question

anonymous · Answer

-2.2 lol

anonymous · Answer

that's the x component, but what is the length of that line if you just draw it ?

anonymous · Answer

i have no clue

anonymous · Answer

1.4?

anonymous · Answer

NO : (

anonymous · Answer

ok, if i draw a line, starting out at the origin and ending at the point (-2.2, 0), how far has my pencil moved ?

anonymous · Answer

Can you draw a sketch of the vector A ?

anonymous · Answer

|dw:1410635574232:dw|
you can add it to this set of axes starting at the origin