Answer:

Step-by-step explanation:
Given two non zero vectors,
.
Let the angle between the two vectors = 
Given that:

Let us have a look at the formula for magnitude of addition of two vectors:

Where
is the angle between the two vectors.
formula for magnitude of subtraction of two vectors:

As per the given condition:

Squaring both sides:

So, the angle between the two vectors is: 
123x - 23(-1 + x) = 14
Simplify.
123x + 23 - 23x = 14
Subtract 23 from both sides.
123x - 23x = 14 - 23
Simplify.
100x = - 9
Divide both sides by 100.
x = -9/100
~Hope I helped!~
Answer:
5
Step-by-step explanation:
Answer:
Alternative C is correct;
Yes, there is evidence at the 5% significance level
Step-by-step explanation:
To determine whether a linear relationship does exist between shoe size and height, we shall simply be testing the null hypothesis;
β=0
against the alternative;
β≠0
From the output, the p-value of the coefficient of height is given as 0.042 or equivalently 4.2%
Since the p-value, 4.2% is less than 5% level of significance we reject the null hypothesis that claims no linear relationship exists between the shoe size and height.
Answer:
x = 1/4c + 1/4k **i may be wrong**