Question: Let a and b be nonparallel vectors, and let c be any nonzero vector. Show that (a b) e is a vector in

Let a and b be nonparallel vectors, and let c be any nonzero vector. Show that (a × b) × e is a vector in the plane of a and b.

Step by Step Solution

★★★★★

3.35 Rating (167 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a b is perpendicular to the plane co... 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

Document Format (1 attachment)

Word file Icon

955-M-C-D-E (2979).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

Q:

Let; n 0 and w 0 he nonparallel vectors in IR? (as in Chapter 4). (a) orthogonal basis of R3. (b) plane through the origin with normal n-. Show that #x zi, ti- Show that span {nx6

Q:

Let a and b be nonzero vectors in Rn. a) If (t) = a + tb for t R, show that for each to, t0, t1, t2 R with t1, t2 t0, the angle between (t0) - (t0) - (t0) and (t2) - (t0) is 0 or . b) If is the...

Q:

Let A and B be n à n matrices and let M be a block matrix of the form Use condition (b) of Theorem 1.4.2 to show that if either A or B is singular, then M must be singular. A C M = O B B

Q:

Answer all the question please. 1.36 will answer 1.42 thanks - Two long, straight wires, one above the other, are separated by a distance 2a and a: parallel to the x-axis. Let the +y - axis b in the...

Q:

Math 103 Homework 4.2 Name: -3 1) Let A = 6 W - 0 determine if w = is in Nul A. 2) Find an explicit description of Nul A by listing vectors that span the null space. 16 1 4 0 3) Find an explicit...

Q:

Math 103 Homework 4.2 Name: -3 1) Let A = 6 W - 0 determine if w = is in Nul A. 2) Find an explicit description of Nul A by listing vectors that span the null space. 16 1 4 0 3) Find an explicit...

Q:

Problem 1. Express (2, 6) as a linear combination of u = (1,3) and v = (3, -1). Illustrate by plotting, and show and explain what the coefficients measure. Problem 2. Express (2,6) as a linear...

Q:

9. Orthogonally diagonalize the matrix DOON OH HOHO ONO 10. Let A =4 NN a = (? ) and va - ( verity that y, and v, are eigenvectors of A. Then orthogonally diagonalize A. 11. Mark each statement as...

Q:

need help with these question 9. Orthogonally diagonalize the matrix DOON OH HOHO ONO 10. Let A =4 NN a = (? ) and va - ( verity that y, and v, are eigenvectors of A. Then orthogonally diagonalize A....

Q:

need help with this all questions 9. Orthogonally diagonalize the matrix DOON OH HOHO ONO 10. Let A =4 NN a = (? ) and va - ( verity that y, and v, are eigenvectors of A. Then orthogonally...

Q:

Which of the following would NOT be considered a negative externality? Select one: a. Your friend buys a new puppy that barks every night. b. Smelter, Inc. creates steel and pollution. c. Your...

Q:

The report Testing the Waters 2009 (www .nrdc.org) included information on the water quality at the 82 most popular swimming beaches in California. Thirty-eight of these beaches are in Los Angeles...

Q:

A $ 1 , 0 0 0 3 0 - year corporate bond that pays $ 8 0 annually in interest is current selling for $ 8 9 2 . Which of the following relationships is correct? Multiple Choice Market rate > coupon...

Q:

The Phillips curve depicts the relationship between the a. unemployment rate and the change in GDP. b. inflation rate and the interest rate. c. level of investment spending and the interest rate. d....

Q:

Suppose = 0.3 and 2 = 0.1. Start from H = 0 and A = 20. Take two steps, with a step length of t = 0.1, as in Section 5.5, Exercise 12.

Q:

Suppose = 3.0 and 2 = 1.0. Start from H = 60 and A = 20. Take two steps, with a step length of t = 0.25, as in Section 5.5, Exercise 13. Does this diagram help explain what went wrong?

Q:

Suppose = 3.0 and 2 = 1.0. Start from H = 0 and A = 20. Take two steps, with a step length of t = 0.5, as in Section 5.5, Exercise 14. Does this diagram help explain what went wrong?

Q:

6. Following are financial statements for the Genatron Manufacturing Corporation for 2012 and 2011. GENATRON MANUFACTURING CORPORATION BALANCE SHEET 2012 2011 ASSETS Cash $40,000 $50,000 Accts....

Q:

Continuous compounding of interest is found as i = e^r - 1 Where r-nominal rate per year, decimal a. Suppose $1000 is invested into a continuously compounded 8% nominal interest account for 5 years....

Q:

If the coefficient of determination of bivariate regression analysis is given as 0.4. What is the proportion of variation in the dependent variable that is not predictable from the independent...