Find aSolutionAngle 10224 radians1788 plz solve by the help

Find a

Solution

Angle = 102.24

radians=1.788

plz solve by the help of this example

a = 4i + 3j -2k

b = -7i +5j +4k

let t be the angle between two vectors:

cos(t) = (a*b)/(IIall*llbll) --(where llall denotes the magnitude of a)

t = arccos[(a*b)/(IIall*llbll)]

lets find the scalar product:

4*-7 + 3*5 + -2*4 = -28+15-8 = -21

now lets find the lengths:

llall = sqrt(16 + 9 + 4), llbll = sqrt(49 + 25 + 16)
llall = sqrt(29), llbll = 3sqrt(10)

so t = arccos[-21/3sqrt(10*29)] = 114 degrees.