What Are the Magnitudes and Direction Angles of the Vector R=2i + j + 3k?

  • Thread starter gearstrike
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In summary, vectors are mathematical objects that have magnitude (length), direction (angle), and components (direction cosines). When solving a problem involving vectors, it is helpful to know the components and direction cosines.
  • #1
gearstrike
4
0
how to solve this question??

A vector is given by R=2i + j + 3k.
find (a) the magnitude of the x,y,z components,
(b) the angels between R and the x,y and z axes..
 
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  • #2


How much do you know about vectors? These questions are fairly basic.
 
  • #3


punderq arunburg...m asking u to do dat question...not to comment my question...u little funky...challenge u to answer my question ...
 
  • #4


Please read the forum rules. You are expected to show your work before anyone can help. And no, your questions are not "challenging" at all.
 
  • #5


gearstrike, we only help after you've shown us some attempt at trying to solve it yourself.

In your class or textbook, haven't they discussed the components of a vector? And something (anything) about angles & vectors?
 
  • #6


gearstrike said:
punderq arunburg...m asking u to do dat question...not to comment my question...u little funky...challenge u to answer my question ...
lmao! Funny talking little funky :p
 
  • #7


im sory guys,
im really don't know about this question..
basicly,im bad in basic..can you guys help me.?
 
  • #8


Well, to start off, what do you understand by the "magnitude of the x,y,z components"? And for the second, what have you learned about the dot product that you can apply here?
 
  • #9


ermm,
what i know abaout magnitude x,y and z is equal to = i + j + k.
 
  • #10


gearstrike said:
ermm,
what i know abaout magnitude x,y and z is equal to = i + j + k.
That makes no sense at all! The magnitude of a vector is its length- a number, not a vector. The magnitude of the vector [itex]x\vec{i}+ y\vec{j}+ z\vec{k}[/itex] is [itex]\sqrt{x^2+ y^2+ z^2}[/itex].

To find the "direction angles", the angles a vector makes with the x, y, and z axes, you find a unit vector in that direction. The components of a unit vector are the "direction cosines": a unit vector is always of the form [itex]cos(\theta)\vec{i}+ cos(\phi)\vec{j}+ cos(\psi)\vec{k}[/itex] where [itex]\theta[/itex], [itex]\phi[/itex], and [itex]\psi[/itex] are the angles the vector makes with the x, y, and z axes respectively.
 

FAQ: What Are the Magnitudes and Direction Angles of the Vector R=2i + j + 3k?

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