Question: Show that if a, b are nonzero vectors such that a b, then the set of all solutions of Eq. (15) is a line

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.

axx=b

Show that if X is orthogonal to b and is not a multiple of a, then a × X is a multiple of b.

axx=b

Step by Step Solution

★★★★★

3.32 Rating (152 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

We define the following vectors 1 We show that c b Since X is orthogonal to a and b ... View full answer

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 Calculus 4th Questions!

Q:

Show that C(X) (exercise 2.85) is not an inner product space. Two vectors x and y in an inner product space X are orthogonal if xT y = 0. We symbolize this by x ¥ y The orthogonal complement...

Q:

Show that if a, b are nonzero vectors such that a b, then there exists a vector X such that a X = b

Q:

Are They Vector Spaces? In each of Problems 1-3, decide whether or not the given set constitutes a vector space. Assume "standard" definitions of the operations? 1. The set of vectors in the first...

Q:

In dos part of the assignment, we will explore die idea of linear combinations and spans of vectors in R\" lat are restricted in a particular way. Note that this content diverges from the core...

Q:

Please show your solutions in solving. Please make it brief but readable/visible. I will give you a very good feedback. Thank you! 1. Given: vector 1 = (1, -2, 4) nonzero vector 7 parallel to A = (...

Q:

Q4. The CauchySchwcrz Inequality says that if a = (cl....,on} and b 2 (b1... . ,bn) are two vectors in R\". then la'bl S llallllbll- This inequality has many practical applications. In this exercise...

Q:

Can you please help me with number 31. I have provided the math chapter it came from and the answer from the back of the book: Thank you so much and Best wishes! 5.7 Matrix Exponentials and Linear...

Q:

Please write complete solutions on separate paper. Communication is also being assessed for correct mathematical form and style. Knowledge, Understanding, Application RT 1. Consider the plane given...

Q:

Can you please help me with number 12 and number 15. I have provided the math chapter it came from and the answer from the back of the book: Thank you so much and Best wishes! 5.6 Problems Find...

Q:

Can you please help me with number 15. I have provided the math chapter it came from and the answer from the back of the book: Thank you so much and Best wishes! Linear Systems quations 406 The...

Q:

For equilibrium conditions and a MgO-65 wt% FeO ceramic, determine (a) The liquidus temperature; (b) The solidus temperature; (c) The freezing range; (d) The composition of the first solid to form...

Q:

How does a products contribution margin before a price change affect whether it would be a price increase or a price decrease that would be more likely to increase profits from that product?

Q:

The Company uses the lower - of - cost - or - market approach. The replacement cost of an inventory item is $ 7 5 . 0 0 . Net realizable value is $ 8 3 . 0 1 . Net realizable value less a normal...

Q:

explain the term product, describe Kotlers five levels of product benefit and be able to illustrate the concepts with relevant THE examples; L01

Q:

Solve the triangle. A = 70, B = 60, c = 4

Q:

Solve the triangle. A = 110, C = 30, c = 3

Q:

Solve the triangle. B = 10, C = 100, b = 2

Q:

(EPS: Simple Capital Structure) At January 1, 2017, Langley Companys outstanding shares included the following. 280,000 shares of $50 par value, 7% cumulative preferred stock 900,000 shares of $1 par...

Q:

World Gourmet Coffee Company (WGCC) is a distributor and processor of different blends of coffee. The company buys coffee beans from around the world and roasts, blends, and packages them for resale....

Q:

What are the basic elements of the S&OP process? How do marketing, logisitics, finance, and manufacturing contribute to each element