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

[gearstrike]

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..

 

[arunbg]

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

 

[gearstrike]

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

 

[Defennder]

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.

 

[Redbelly98]

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?

 

[rocomath]

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

 

[gearstrike]

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

 

[Defennder]

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?

 

[gearstrike]

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

 

[HallsofIvy]

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 x\vec{i}+ y\vec{j}+ z\vec{k} is \sqrt{x^2+ y^2+ z^2}.

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 cos(\theta)\vec{i}+ cos(\phi)\vec{j}+ cos(\psi)\vec{k} where \theta, \phi, and \psi are the angles the vector makes with the x, y, and z axes respectively.