62find the direction angle of each vector write ech in the f

(62)find the direction angle of each vector .write ech in the form of equation (7)

v=i-j-k

(14) find the value of each determination?

|A B C|

|1-2-2|

|0 2 -2|

Solution

(62) v = i - j -k

Given a vector v = <a, b, c> with magnitude |v|, the direction angles are:
cos() = a/|v|, cos(ß) = b/|v|, and cos() = c/|v|.
Note that these angles are just each component divided by the magnitude.

cos = 1/sqrt(1 +1+1) = 1/sqrt3

cosß = -1/sqrt3

cos = -1/sqrt3

14) question is not clear : Is it a matrix?