Find the dot product of vectors a and b and the angle between them. a = (9,0) b = (5,8)

57.99 degrees

Step-by-step explanation:

a = <9, 0> and b = <5, 8>.

Then the dot product is (9)(5) + (0)(8) = 45 (a scalar)

The cosine of the angle between these two vectors is

              a · b         45                              45                 5

cos Ф = = =   =     =  0.53  

              |a||b|       (9)( √[25 + 64] )      9(√89)             √89

The angle between the vectors is arccos 0.53, which comes out to 1.01 radian or 57.99 degrees.

an advantage of the standard deviation is that it increases as the dispersion of the data increases. e. the interquartile range is preferred when the data are not skewed or no have outliers. an advantage of the standard deviation is that it uses all the observations in its computation.