Consider the vectors u = (cos , sin , 0) and v = (cos , sin ,
Question:
Consider the vectors u = (cos α, sin α, 0) and v = (cos β, sin β, 0), where a > β. Find the dot product of the vectors and use the result to prove the identity
cos(α - β) = cos a cos β + sin α sin β.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 33% (3 reviews)
cos a sin a 0 v cos B sin B 0 ...View the full answer
Answered By
David Ngaruiya
i am a smart worker who concentrates on the content according to my clients' specifications and requirements.
4.50+
7+ Reviews
19+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Consider the vectors u = = 2i-j2k and v= ai +2j + 4k, where a is a real number. (a) Calculate the direction cosines of u. (b) State the value of a such that u and v are parallel. (c) State the value...
-
Find the length of u = 4i - 3j. O A. 7 OB. 5 OC. +5 O D. 7 OE. 25
-
The cross product between vectors in R3 is defined by the formula Where (a) Show that u = v à w is orthogonal, under the dot product, to both v and w. (b) Show that v à w = 0 if and...
-
Sedona Company set the following standard costs for one unit of its product for 2015. Direct material (20 Ibs. @ $2.50 per Ib.) . . . . . . . . . . . . . . . . . . . . . . . $ 50 Direct labor (10...
-
Do you think the following data would represent processes that were under control or out of control? Explain your thinking. (a) Monthly shipments of snow skis to retail stores (b) Number of daily...
-
Garcia Manufacturing uses a job order cost system and applies overhead to production on the basis of direct labor costs. On January 1, 2010, Job No. 50 was the only job in process. The costs incurred...
-
Consider a payoff \(C\) that will occur in 2 years, taking one of the three possible values \(C_{0}, C_{1}, C_{2}\). The short rate lattice for these 2 years is shown in Figure 16.16, with \(d_{i...
-
Following are descriptions of transactions and other financial events for the City of Tetris for the year ending December 2010. Not all transactions have been included here. Only the General Fund...
-
Which type of merchandise have HP company focused on carrying? Who are target customers? What relationships do these products have with their target customers? What is breadth and depth of...
-
In Exercises find the magnitude of v. V = 3j - 5k
-
In Exercises find the magnitude of v. v = 2i + 5j - k
-
In Exercises 4958, graph each equation in a rectangular coordinate system. x = -3
-
A taxpayer has $5,000 in cash donations to various charitable organizations during the year. $2,000 of these are not substantiated with a contemporaneous written acknowledgement from the donee...
-
Can credit cards be issued to consumers who have been irresponsible with credit?
-
An agreement is reached for an American company to purchase a machine from a foreign vendor for 100,000 euros. At the time of the agreement, the exchange rate is 1.20 dollars per euro. At the time of...
-
A taxpayer has a home office of 250 square feet out of a total home size of 1,875 square feet. The office qualifies for the business use of home treatment. Expenses related to the whole home and...
-
A taxpayer has a vehicle and wishes to depreciate it. They drove 15,000 miles in total during the year, of which 9,250 were business miles and 1,250 were commuting miles. What ratio is used to...
-
Most new immigrants to America are non-European and have limited English-language skills. What opportunities does this present to marketers? Does this raise any ethical issues for marketers?
-
In the figure, two loudspeakers, separated by a distance of d1 = 2.63 m, are in phase. Assume the amplitudes of the sound from the speakers are approximately the same at the position of a listener,...
-
Determine the following indefinite integrals. Check your work by differentiation. (wi-) /(av- 4Vx - dx Vx,
-
The theory of interference of coherent oscillators requires the where N is a positive integer and m is any integer. Show that the value of this limit is N 2 . sin (N8/2) lim 62m sin? (8/2)
-
Consider the quartic (fourth-degree) polynomial f(x) = x 4 + bx 2 + d consisting only of even-powered terms. a. Show that the graph of f is symmetric about the y-axis. b. Show that if b 0, then f...
-
The y-intercept of the graph of the exponential function f(x) = 7.5(0.98)* is. Answer:
-
Suppose an organization wishes to boost their ESG ratings and to go above and beyond in their environment, social, and governance ratings. What objective are they trying to achieve? Explain.
-
How can systems theory inform the development of holistic frameworks for assessing the multifaceted dimensions of empowerment within complex adaptive systems ? Explain
Study smarter with the SolutionInn App