Two vectors are expressed in unit vector, rectangular form below R=5i+0j+12k S=0

Question

Two vectors are expressed in unit vector, rectangular form below
R=5i+0j+12k S=0i-8j+6k
When placed tail-to-tail in space, these two vectors wouldform an angle of approximately??
Please work this out so I am able to see the steps, there issomething that is giving me trouble, I'm just not sure where.Thanks a lot!
R=5i+0j+12k S=0i-8j+6k
When placed tail-to-tail in space, these two vectors wouldform an angle of approximately??
Please work this out so I am able to see the steps, there issomething that is giving me trouble, I'm just not sure where.Thanks a lot!

Explanation / Answer

we know that , dot product between two vector is: R.S=|R|*|S|*cos; cos=R.S/(|R|*|S|) also R.S=(5i+0j+12k).(0i-8j+6k)             =5*0+0*-8+12*6=72 |R|=(52+122)=13; |S|=(82+62)=10; cos=72/(13*10)=0.6 =cos-1(0.6)=53.13o.

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