Question

For what values of is the angle between the vectors i+2j-2k and 4i+cj-3k equal to 48 degrees?

Answer #1

Two vectors are represented by F1 = -4i -5j and F2 = -2i +3j.
What is the angle between the two vectors?

A) Find the angle between the vectors 8i-j + 4k and 4j + 2k
B) Find c so that the vectors 2i-3j + ck and 2i-j + 4k are perpendicular
C) Find the scalar projection and the vector projection of 2i +
4j-4 on 3i-3j + k

What is the effect on the dot product of two vectors, if the
angle between the two vectors is fixed, but one of the vectors
doubles in length? or triples in length?
two explainations please

I know of two ways to compute the angle between two vectors
1.) cos theta = (u· v)/(||u||· ||v||)
2.) sin theta = ||u x v||/(||u||· ||v||)
The problem I need help with requires that I show that the two
methods produce the same theta value. The vectors I have to work
with are u = <-2,2,-2> and v = <4,6,3>. Theoretically,
the two theta values should be the same. However, when I did it
both ways, the first method...

Data needs to be analyzed
For this assignment I have to analyze the regression
(relationship between 2 independent variables and 1 dependent
variable). Below is all of my data and values. I need help
answering the questions that are at the bottom. Questions regarding
the strength of the relationship
Sum of X1 = 184.6
Sum of X2 = 21307.03
Sum of Y = 2569.1
Mean X1 = 3.6196
Mean X2 = 417.7849
Mean Y = 50.3745
Sum of squares (SSX1)...

1. For a pair of sample x- and y-values, what is the difference
between the observed value of y and the predicted value of y? a) An
outlier b) The explanatory variable c) A residual d) The response
variable
2. Which of the following statements is false:
a) The correlation coefficient is unitless. b) A correlation
coefficient of 0.62 suggests a stronger correlation than a
correlation coefficient of -0.82. c) The correlation coefficient,
r, is always between -1 and 1....

MATHEMATICS
1. The measure of location which is the most likely to
be
influenced by extreme values in the data set is the a. range
b.
median c. mode d. mean
2. If two events are independent, then a. they must be
mutually
exclusive b. the sum of their probabilities must be equal to one
c.
their intersection must be zero d. None of these alternatives
is
correct. any value between 0 to 1
3. Two events, A and B,...

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