
Mathematics: A Practical Odyssey
8th Edition
ISBN: 9781305104174
Author: David B. Johnson, Thomas A. Mowry
Publisher: Cengage Learning
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Question
Chapter C, Problem 9E
To determine
(a)
The value of
To determine
(b)
Whether the answer is same as that of Exercise 5(b) and explains the reason.
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u, v and w are three coplanar vectors:
⚫ w has a magnitude of 10 and points along the positive x-axis
⚫ v has a magnitude of 3 and makes an angle of 58 degrees to the positive x-
axis
⚫ u has a magnitude of 5 and makes an angle of 119 degrees to the positive x-
axis
⚫ vector v is located in between u and w
a) Draw a diagram of the three vectors placed tail-to-tail at the origin of an x-y plane.
b) If possible, find
w × (ū+v)
Support your answer mathematically or a with a written explanation.
c) If possible, find
v. (ū⋅w)
Support your answer mathematically or a with a written explanation.
d) If possible, find
u. (vxw)
Support your answer mathematically or a with a written explanation.
Note: in this question you can work with the vectors in geometric form or convert
them to algebraic vectors.
Question 3 (6 points)
u, v and w are three coplanar vectors:
⚫ w has a magnitude of 10 and points along the positive x-axis
⚫ v has a magnitude of 3 and makes an angle of 58 degrees to the positive x-
axis
⚫ u has a magnitude of 5 and makes an angle of 119 degrees to the positive x-
axis
⚫ vector v is located in between u and w
a) Draw a diagram of the three vectors placed tail-to-tail at the origin of an x-y plane.
b) If possible, find
w × (u + v)
Support your answer mathematically or a with a written explanation.
c) If possible, find
v. (ū⋅ w)
Support your answer mathematically or a with a written explanation.
d) If possible, find
u (v × w)
Support your answer mathematically or a with a written explanation.
Note: in this question you can work with the vectors in geometric form or convert
them to algebraic vectors.
39 Two sides of one triangle are congruent to two sides of a second
triangle, and the included angles are supplementary. The area of
one triangle is 41. Can the area of the second triangle be found?
Chapter C Solutions
Mathematics: A Practical Odyssey
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- Pls help ASAP botharrow_forwardK Find all values x = a where the function is discontinuous. For each value of x, give the limit of the function as x approaches a. Be sure to note when the limit doesn't exist. x-7 p(x) = X-7 Select the correct choice below and, if necessary, fill in the answer box(es) within your choice. (Use a comma to separate answers as needed.) OA. f is discontinuous at the single value x = OB. f is discontinuous at the single value x= OC. f is discontinuous at the two values x = OD. f is discontinuous at the two values x = The limit is The limit does not exist and is not co or - ∞. The limit for the smaller value is The limit for the larger value is The limit for the smaller value is The limit for the larger value does not exist and is not c∞ or -arrow_forwardK x3 +216 complete the table and use the results to find lim k(x). If k(x) = X+6 X-6 X -6.1 -6.01 - 6.001 - 5.999 - 5.99 -5.9 k(x) Complete the table. X -6.1 -6.01 - 6.001 - 5.999 - 5.99 - 5.9 k(x) (Round to three decimal places as needed.) Find the limit. Select the correct choice below and, if necessary, fill in the answer box within your choice.arrow_forward
- Pls help ASAP botharrow_forward5. The revenue function for a school group selling n cookies is given by R(n) = 2n, and the total cost function is given by C(n) = 45+0.20n a) Determine a simplified equation for the profit function, P(n). b) Determine the number of cookies that need to be sold for the school group to break even.arrow_forwardPls help ASAParrow_forward
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