Vector - points in same direction

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SUMMARY

The discussion centers on determining which vectors point in the same direction as the vector V = (-sqrt2, sqrt3, sqrt5). The options presented include 1/10 V, sqrt10/10 V, sqrt10 V, and sqrt 10 V. The key insight is that two vectors point in the same direction if one is a positive scalar multiple of the other. Therefore, options c (sqrt10 V) and d (sqrt 10 V) are valid as they represent positive scalar multiples of V.

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marionca57
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I don't know how to make the vector arrow on top of the letter so I just underlined the vectors. Also I don't know how to make the square root symbol so I just type sqrt for it.

Homework Statement


Which points in the same direction as V = (-sqrt2, sqrt3, sqrt5)
a) 1/10 V
b) sqrt10/10 V
c) sqrt10 V
d) sqrt 10 V


Homework Equations





The Attempt at a Solution


I am not sure where to start other than calulating the sqrt of 2,3, and 5. My best guess would be c but I need to know why if that is correct or some help figuring it out.
Please help,
Thanks,
Marion
 
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Welcome to PF!

marionca57 said:
I don't know how to make the vector arrow on top of the letter so I just underlined the vectors. Also I don't know how to make the square root symbol so I just type sqrt for it.

Hi Marion! Welcome to PF! :smile:

(have a square-root: √ :smile:)

On this forum, type vectors in bold. :wink:
Which points in the same direction as V = (-sqrt2, sqrt3, sqrt5)
a) 1/10 V
b) sqrt10/10 V
c) sqrt10 V
d) sqrt 10 V

I am not sure where to start other than calulating the sqrt of 2,3, and 5. My best guess would be c but I need to know why if that is correct or some help figuring it out.

(c and d look the same :confused:)

As you probably know, on this forum we don't tell you the answer, we just try to nudge you in the right direction. :wink:

What tests do you know for two vectors to be pointing in the same direction? :smile:
 
It is a good idea to make carefull use of parentheses so that there is no
ambiguity as to the meaning of an expression.

Consider that for positive constants k, and vectors v, k v is in the same direction of v.
 

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