(1) (14 points) Let a = (-2, 10, -4) and b = (3, 1, 1). (a) (4 points) Using the dot product determine the angle between a and b. (b) (2 points) Determine the cross product vector axb. (c) (4 points) Calculate the area of the parallelogram spanned by a and b. Justify your answer. 1

(1) (14 points) Let a = (-2, 10, -4) and b = (3, 1, 1). (a) (4 points) Using the dot product determine the angle between a and b. (b) (2 points) Determine the cross product vector axb. (c) (4 points) Calculate the area of the parallelogram spanned by a and b. Justify your answer. 1

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.4: The Dot Product

Problem 6E

See similar textbooks

Related questions

Q: 6.2.102. Solve x" — x = (t² − 1)u(t − 1) for initial conditions x(0) = 1, x'(0) = 2 using the…

A: Step 3: Inverse Laplace TransformThe solution involves the inverse Laplace transform of each…

Q: 11. Determine the scalar equation of the plane that contains the z axis and the point P(4,-3,5).

Q: 5. Please solve this for me and show every single step. I am studying and got stuck on this…

A: To find the area between two curves, we first need to find the points where the curves intersect.…

Q: i need help please and thank you

A: Step 1:Step 2:Step 3: Step 4:

Q: Find the value of the following indefinite integral: (see image)

A: By completing the square on 4b2y2−24aby+27a2 we have=(2b)2y2−2(6a)(2b)y+27a2By comparing with the…

Q: 17) Evaluate. Sin (x²) dx dy by reversing the order of integration.

A: We are tasked with evaluating the integral:∫01∫y1sin(x2)dxdyby reversing the order of integration.…

Q: " Do not use AI" "Answer must be hand written"

A: We are asked to find the linear approximation of the function f(x)=6+x at x=3. Then, we are to use…

Q: Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a…

Q: please i need help with the question

A: FEEL FREE TO ASK FOR CLARIFICATIONS

Q: 1. Which of the following statements are true? (i) Every continuous function f : [a, b] → R has a…

Q: Test the series for convergence or divergence.

A: Step 1:The provided series is:∑n=1∞n!3nn2It is needed to test the series for convergence or…

Q: A line (L1) is perpendicular on the line (L2: 5X - BY +19-0) and intercept it at a point (-5, 2).…

A: Approach to solving the question: Find the value of B such that L1 (a line passing through (−5,2)…

Q: 1/ Solve the following: 1 x + X + cos(3X) -75 -1 2 2 (5+1) e 5² + 5 + 1 3 L -1 1 5² (5²+1) 1 5(5-5)

A: solution of the given question we have;

Q: Question 1 1 pts The density of the rectangular plate [2,3] × [1,4] in the x, y-plane is p = y/(3 +…

A: Approach to solving the question:Integration Detailed explanation:

Q: 2. Evaluate the following or show that it diverges. a. Elo 10 ΣΚ 512 (1) * C. b. Ex²-0 512(--)* Σε…

A: ### Part (a): ∑ₖ₌₀¹⁰ 512 (-1/2)ᵏStep 1: Formula for finite geometric seriesThe formula for the sum…

Q: My teacher's answer is: 4a⁷b⁶

A: Used Formulas: (ab)n(am)nam⋅an=an⋅bn=am⋅n=am+n Your teacher answer is 4a⁷b⁶ ? • I have rechecked…

Q: Evaluate (2x+3y+z)dV, where E is the solid in the first octant under the paraboloid z = 9-x²-12. E…

A: Step 1:Step 2:Step 3: Step 4:

Q: helppp

Q: Use the Alternating Series Estimation Theorem or Taylor's Inequality to estimate the range of values…

A: The problem involves determining the range of values of x for which the approximation…

Q: dy Find for y = xetanh 3x + cosh 1 x²+10 dx Find S 1−sinh 2 x cosh x 2 dx

Q: by series find the Solution U (x) = x²- X³+ x²+'S (1+x+) u(t) st 0 (2) u(x) = x's (6x-2+) u(t) St U…

Q: Test the series for convergence or divergence.

A: Step 1: Step 2: Step 3: Step 4:

Q: Please help on all asked questions. Please show all work and steps. Please circle the final answer.

A: If you have any problem let me know in the comment section thank you.

Q: The integral of x2 dx with upper bounds of 2 and lower bounds of 0. Compute the integral exactly

A: The integral we are trying to solve is ∫x^2 dx from 0 to 2. This is a definite integral because it…

Q: Please help on all asked questions. Please show all work and steps. Please circle the final answer.

Q: Please help me with these questions. I am not understanding what to do. Thank you

A: Step 1:Step 2:

Q: 2. Suppose f(x) = 3x² - 5x. Show all your work for the problems below.

A: Step 1:Step 2: Step 3: Step 4:

Q: Instruction: Course Name: Calculus with Analytical Geometry-1 Course Code: MATH 132 Do not use…

A: Iteration 1 :Iteration 2 : Iteration 3 :Iteration 4 :Iteration 5 :Iteration 6…

Q: Find the local maximum and minimum values and saddle points of the function f(x, y) = y3 + 3x2y -…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: 60! 5!.7!.15!.33!

A: The factorial of a non-negative integer n, denoted by n!, is the product of all positive integers…

Q: There is exactly number a and one number b such that the vector field F = conservative. For those…

A: Stepwise solution to determine the values of a and b for the vector field F = (3ay + z, 3ayz + 3x,…

Q: Let 4 y = √√x² - 11x+30 x2 dy Find at x = 15. dx dy x=15= dx

A: If you have any help please let me know in comment box thankyou.

Q: use a graphing utility to sketch the graph of the function and then use the graph to help identify…

A: If you have any help please let me know in comment box thankyou.

Q: Which of the following statements are true?(i) Every continuous function f : [a, b] → R has a…

A: This statement is true. It is a direct application of the Extreme Value Theorem, which states that…

Q: est.aspx?testid=266945020&centerwin=yes 3, 4.4) Question 7 of 10 > Christiana Exantus 11/12/24 5:30…

A: The problem is asking us to graph the function P(x) = 1 - 1/x and comment on the likelihood of your…

Q: express the inverse transforms in terms of step functions, and then find distinct formulas the for…

Q: Match the following vector fields with their plots below. 1. F(x, y) = 2. F(x, y) = (0, x²) (x − y,…

A: Let's break down the reasoning for each vector field and how it matches with the given plots by…

Q: Show all steps. Correct flow = 0. Correct flux = 2pi

Q: 3. Determine whether the following series converge or diverge. Show your work and specify what tests…

A: I hope you are finding the material engaging and informative. If you have any questions or…

Q: use a graphing utility to sketch the graph of the function and then use the graph to help identify…

A: From the graph: Domain : Set of x value where function graph is exists called domain of the…

Q: 5. Submit answer Practice similar X Compute T2(x) at x = 0.6 for y = e and use a calculator to…

A: May this answer helpful to you.

Q: Find (f^-1)'(1) if f(x )= x/2+sin^2(x) for 0<x<pi/2

A: GIVEN : STEP : 1 STEP : 2 FINAL STEP :

Q: 4. Consider the function f(x) = Build the 4th degree Taylor polynomial of f centered at a = 0. b.…

A: a.Givenf(x)=x+31The fourth degree Taylor polynomial centered at a=0 is given…

Q: i need help please

A: Given the vector field𝐹=(−𝑥𝑦𝑧−𝑥−2𝑦,−4𝑥𝑦𝑧−4𝑦𝑧−4𝑦,−3𝑥𝑦𝑧+𝑥𝑦+4𝑧) and the parametric…

Q: Show all steps. Correct answer are: flow = 14pi/3; flux = 0

Q: Consider the family of curves x = ky² A. Please draw 3-4 curves that belong to this family of…

Q: Let (W)to be a Brownian Motion. (a) Let Xt, check that (X+) is an Itô-integrable process. (b) Let Y₁…

Q: Show all steps. Correct answer is 18722.15468369

A: FEEL FREE TO ASK FOR CLARIFICATIONS

Question

(1) (14 points) Let a = (-2, 10, -4) and b = (3, 1, 1).
(a) (4 points) Using the dot product determine the angle between a and b.
(b) (2 points) Determine the cross product vector axb.
(c) (4 points) Calculate the area of the parallelogram spanned by a and b. Justify
your answer.
1

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step by step

Solved in 2 steps with 4 images

SEE SOLUTION Check out a sample Q&A here