a. Calculate `vec(r )=vec(a)-vec(b)+vec(c )`, where `vec(a)=5hat(i)+4hat(j)-6hat(k)`, `vec(b)= -2hat(i)+2hat(j)+3hat(k)`, and `vec(c )= 4hat(i)+3hat(j)+2hat(k)`. b. Calculate the angle between `vec(r )` and the `z`-axis.

a. Calculate `vec(r )=vec(a)-vec(b)+vec(c )`, where `vec(a)=5hat(i)+4h

1.	a. Calculate `vec(r )=vec(a)-vec(b)+vec(c )`, where `vec(a)=5hat(i)+4hat(j)-6hat(k)`, `vec(b)= -2hat(i)+2hat(j)+3hat(k)`, and `vec(c )= 4hat(i)+3hat(j)+2hat(k)`. b. Calculate the angle between `vec(r )` and the `z`-axis.
Answer» Correct Answer - a.`11hat(i)+5hat(j)-7hat(k)`; b. `cos^(-1)-7/sqrt(195)` a. `vec(r )= vec(a)-vec(b)+vec(c )` `=(5hat(i)+4hat(j)-6hat(k))-(-2hat(i)+2hat(j)+3hat(k))+(4hat(i)+3hat(j)+2hat(k))` `5hat(i)+2hat(i)+4hat(i)+4hat(j)-2hat(j)+3hat(j)-6hat(k)-3hat(k)-2hat(k)` `11hat(i)+5hat(j)-7hat(k)` b. `cos r` or angle between `vec(r )` and z-axis `cos r =-(-7)/(sqrt((11)^(2)+(5)^(2)+(7)^(2)))=(-7)/sqrt(195)` or angle `=cos^(-1) (-7)/sqrt(195)`

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a. Calculate `vec(r )=vec(a)-vec(b)+vec(c )`, where `vec(a)=5hat(i)+4hat(j)-6hat(k)`, `vec(b)= -2hat(i)+2hat(j)+3hat(k)`, and `vec(c )= 4hat(i)+3hat(j)+2hat(k)`. b. Calculate the angle between `vec(r )` and the `z`-axis.

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