Show that if a, b are nonzero vectors such that a b, then there exists a
Question:
Show that if a, b are nonzero vectors such that a ⊥ b, then there exists a vector X such that
a × X = b
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 33% (3 reviews)
We define the following vectors X is orthogonal to a hence a X 0 and we obtain axb lc ...View the full answer
Answered By
Kalyani Nanda
I am a graduation appearing student and fresher .
0.00
0 Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Show that if a, b are nonzero vectors such that a b, then the set of all solutions of Eq. (15) is a line with a as direction vector. Show that if X is orthogonal to b and is not a multiple of a,...
-
A matrix A R n,n is said to be nonnegative (resp. positive) if a ij 0 (resp. a ij > 0) for all i, j = 1, . . . , n. The notation A 0 (resp. A > 0) is used to denote nonnegative (resp. positive)...
-
Suppose that a and b are nonzero vectors that are not parallel and c is any vector in the plane determined by a and b. Give a geometric argument to show that c can be written as c = sa + tb for...
-
ARTICLE: Reference Resolve Asset Management's Yes, You Can Eat Sharpe Ratios. 1- The author spoke to two ways for the foundation to meet its target return of 5%. Identify what the two ways presented...
-
The one-year spot rate is r 1 = 6 percent, and the forward rate for a one-year loan maturing in year 2 is f 2 = 6.4 percent. Similarly, f 3 = 7.1 percent, f 4 = 7.3 percent, and f s = 8.2 percent....
-
Use the longest work element rule to balance the assembly line described in the following table and Figure so that it will produce 40 units per hour. a. What is the cycle time? b. What is the...
-
What are some of the disadvantages of using social media?
-
Data related to the acquisition of timber rights and intangible assets during the current year ended December 31 are as follows: (a) Timber rights on a tract of land were purchased for $1,170,000 on...
-
Identify which issues are the most important to come to grips with (that is if you do not get a positive answer, you would not go forward with this investment? How would you go about getting the...
-
Use Eq. (12) to prove the Cauchy-Schwarz inequality: Show that equality holds if and only if w is a multiple of v or at least one of v and w is zero. z(MA) - z||M||||A|| = ||MX A||
-
Suppose that u, v, w are nonzero and Show that u, v, and w are either mutually parallel or mutually perpendicular. Use Exercise 75. Data From Exercise 75 Show that if u, v, and w are nonzero vectors...
-
For each group of figures that follows, determine the missing amount. 1. Beginning merchandise inventory Net purchases Cost of merchandise available for sale 2. Net sales Cost of merchandise sold...
-
The lower ends of the members of a 4-bar pined-joint truss shown in the figure below are fixed in the x-y plane and a load is applied at the upper joint. The (x,y,z) coordinates of the base points A,...
-
Based on your engineering intuition, can the following structures be in static equilibrium? If not, EXPLAIN why it's not in equilibrium and DRAW the minimum number of additional rollers/pins (NOT...
-
The price of a risky 10-year zero-coupon bond depends on two parameters: risk-free 10-year spot rate r(10) (to simplify notations, denote r(10) by r), and the Today r=0.05 and s=0.12, so, risk...
-
Analyze CFO, CFI, CFF and free cash flow following the cash flow statement: Consolidated Statements of Cash Flows - USD ($) 12 Months Over 31 December 2016 31 December 2015 31 December 2014 Operation...
-
A moving component is subjected to vibrations along its length, emanating from two machines situated at opposite ends. The displacement caused by the vibrations can be modelled by the following...
-
Gina Matheson owns and operates a successful florist shop in Bloomington, Indiana. Two years ago, Gina purchased a refrigerated display case for $20,000, expecting to use it for 10 years....
-
Troy is a qualified radiologist who operates a successful radiology practice from purpose- built rooms attached to his house. Troy works in the practice three days a week, and the other two days he...
-
Solve the triangle. a 45 40
-
Solve the triangle. 5. 10 5
-
Solve the triangle. a 100 2 40
-
Lobster Macaroni and Cheese Find the axis of symmetry, vertex and x-intercepts of the function. Use completing the square to rewrite the function in vertex form. Graph the function. x+2x-3= f(x)
-
The height of a projectile fired upward with an initial velocity of 160 feet per seco is given by the formula h=-16t^(2)+160t where h is the height in feet and t is the time in seconds. Determine the...
-
Hunter invested $970 in an account paying an interest rate of 7(1)/(4)% compounded continuously. Sofia invested $970 in an account paying an interest rate of 7(5)/(8)% compounded monthly. After 6...
Study smarter with the SolutionInn App