User Account

All Pages

Find the equation of the line that passes through A and B

Assignment Help Mathematics
Reference no: EM132344765

Calculus and Matrix Algebra Assignment -

Show all working and give answers exactly where possible.

Q1. If a = (3, 1, 3) and b = (4, -1, 8), find |a|, |b|, 3a - b, a · b, a x b and b x a. What is the angle between a and b?

Q2. For the triangle ABC, with vertices A = (2, -2, 3), B = (5, 1, 6) and C = (8, v, 3), find

(a) the length of side AB,

(b) the equation of the line that passes through A and B,

(c) the value of v so that the angle at point B is π/3.

Q3. Solve the following system of equations using row reductions (Show all working).

2x + 4y + z = 29, x + y + 2z = 7, x + y + 3z = 6.

Q4. Use row operations (show all working) to compute the inverse of the matrix A. Show that it is correct (to get full marks you must do this).

66_figure.png

Q5. Find the equation of the plane containing the vectors a = (1, 2, 4) and b = (6, 1, 4) and the point A(6, 7, -3).

Q6. Find the equation of the line from A(1, 7, -6) to B(-1, 2, -1) in parametric form.

Q7. Suppose a jump-jet takes off perpendicular to the deck of an air-craft carrier whose surface is described by 2x - 5y + 6z = 14. In what direction will it launch? If it takes off vertically (in the direction of k), what is the angle between this direction and the normal to the deck?

Reference no: EM132344765

Questions Cloud

Define what steps might have been taken to prevent offense : Computer Security: Consider this hypothetical situation: David Doe is a network administrator for the ABC Company. David is passed over for promotion three time
Discuss the notion of keys in cryptography : Discuss the notion of keys in cryptography. Is a block better than a stream?
List the major accounting models in the world : List the major accounting models in the world and their distinguishing features. What accounting issues are raised when companies list on multiple country stock
The process of environmental analysis : The Process of an Environmental Analysis. Outline the specific steps you would take when conducting external analysis to determine the need for this addition.
Find the equation of the line that passes through A and B : MAS130 Calculus and Matrix Algebra Assignment, Open Universities, Australia, find the equation of the line that passes through A and B
Focus on in order to survive in today business environment : Describe how consumers can use the Internet to shop in new ways. What must companies focus on in order to survive in today's business environment?
Examine the major disadvantages of cloud computing : Examine the major advantages and disadvantages of cloud computing for the two (2) selected organizations. Recommend whether or not each of the selected.
What are the advantages of using scientific methodology : What are the advantages of using scientific methodology when it comes to studying social phenomena?
Summarize steps required to mitigate all future occurrences : Summarize the steps required to mitigate all future occurrences of this type of attack, including how to verify that the vulnerability has been rectified.

Reviews

Write a Review

Mathematics Questions & Answers

  How many square meters of floor space are in a room

How many square meters of floor space are in a room which has 225.0 square yards of floor space? 1 m = 39.37 in., 1 yard = 36 in.

  Problems based on the regression coefficients

Given that X2 is in the model, does X1 contribute to predicting the dependent variable at the .05 significance level?

  Find area of the circle by integrating in polar coordinates

Concern C, the circle r = 2a cos ?, for -p/2 = ? = p/2, of radius a > 0 centered at the point (x, y)=(a, 0) on the x-axis.

  Function of the number of minutes

Find a formula for the monthly charge, C, in dollars, as a function of the number of minutes, m the phone is used during the month.

  Describe the data collection process

Explain how to use the collected data to derive an experimental value for pi (i.e., a relationship between the diameter of a circle and its circumference).

  Determine his or her actual weight status underweight

the united states is becoming more health conscious and as a result the problem of obesity has gotten more attention.

  How you are achieving appropriate randomization

MAT-274 design an experiment, including finding relevant prior research, determining the appropriate sample, data analysis techniques, and discuss the results

  What is the average angle of inclination of the ramp

A freeway access ramp is 470 ft long and rises 32 ft. What is the average angle of inclination of the ramp?

  Represent number of boxes of candy lawrence purchased

Lawrence buys his friends candy in the morning for $5 a box, but forgot some of his friends, so he went back to the candy shop and purchased the same candy but they had increased in price. He paid $7 a box. Let t represent the number of boxes of c..

  How many possible plans are there

A trip plan involves the selection of a location, ski area, and a time.How many possible plans are there?

  Ten graph the functionsuppose that it costs the bookstore

a college bookstore has been selling one particular tee shirt for a year now. during the fal term 100 were sorld at

  How many children attended the play

How many children attended the play?

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +1-415-670-9521

Phone: +1-415-670-9521

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd