Question: Consider the vectors u = (1, 2, 3) , v = (8, 1, 5) and w = (8, k, 9) , for some constant k.

Consider the vectors u = (1, 2, 3) , v = (8, 1, 5) and w = (8, k, 9) , for some constant k. Enter your answers in the corresponding spaces provided. (Exercise ID: #63226085) a) Determine the cosine of the angle between u and w in terms of k. (Exercise ID: #63226086) b) Determine a non-zero vector perpendicular to both u and w in terms of k.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

PLEASE ANSWER ALL! THANK YOU!! Problem 78. Find the projection of the vector v = (2, 1, 4) onto the plane given by the equation x - 2y + 52 = 0. Problem 79. Find the projection of the vector v = (2,...

4:07 myopenmath.com Question 3 0/1 pt 9 3 99 @ Details Let u = (-1, 2, -3) and U = (1, 5, -5) . Compute the following: U . v = v . u = 4 ( 7 . 7 ) = (4u) . v = u . (47) = = 1(2 . n) Submit Question O...

please also explain each step you do in sentences to help me understand why you did what you did and how to do it better! (3} Consider the vectors u = (2,0, l) and v = (5, 2, ~5). (a} Calculate the...

1) Calculate the volume of the parallelepiped created with the following vectors u = (1, -1, 3); v = (0, 5, -2); w = (1, 0, 7) . Do not write unit. [2 marks] 2) Establish whether the following...

Que.4 Do the following sums.(A) 1. An airplane is flying at an airspeed of 500 km/h, on a heading of 040. A 150-km/h wind is blowing from a bearing of 120. Determine the ground velocity of the...

Q Bing X & Mail - Preet Kaur - Outlaok X Chapter 3 Lab 24F - 24F Finar X [0 Question2of 8- Chapter 3Lat X + c %...

15. Matching. Find the component vectors. u = (1, 2) onto v = (3, 1) U1 = 12= a. u = 33 55 b. uq = 4 4 1 3 c. U2 = 2' 2 23 75 d. un = 17' 17 5 e. uj = 7 f. u1 =

Use the assignment method to determine the best way to assign workers to jobs, given the following cost information. Compute the resultant minimum total cost for your assignment plan (Leave no cells...

Can you solve Given the following sets, find the set A'n (B UC' ) U = {1, 2, 3, . ., 8} A = (2, 5, 7, 8} B = {1, 2, 4} C = {1, 2, 3, 4, 5} Select the correct choice below and, if necessary, fill in...

Would appreciate some help with these, thank you (Section 4.1) 20 points 1. a. Let u = (1, 2, -3, 5, 0), v = (0, 4, -1, 1, 2), and w = (7, 1, -4, -2, 3). Find the components of i. ut w ii. 3(2u - v)...

For each set of vectors, graph and find the x- and y-components of the resultant vectorR. C B

Define and distinguish among exposure, attention, and interpretation and discuss how they influence the consumers behavior.

If $ 4 7 0 invested today yields $ 5 0 0 in a year's time, what is the discount factor?

Benefits vs . Solo Founding Workload Distribution: Co - founders can share responsibilities, allowing for more efficient task management and the ability to focus on core competencies. Skill...

Computing the time-adjusted rate of return. What is the approximate timeadjusted rate of return on the machine?The Century Metals Company is considering the purchase of a machine that will cost...

Computing the payback period. What is the payback period? The Century Metals Company is considering the purchase of a machine that will cost $120,000. It has an expected useful life of 8 years and...

Evaluating projects by the payback period and the rate of return on investment. Four capital expenditure proposals received by the Sutherland Company are described below. The treasurer of the company...