Linear algebra: please solve q34 correctly and handwritten In Exercises 28-31, find a unit vector u that has the samedirection as the given vector v.[2]28. v =30. v = i +j3-[³]431. v = 3i - 2j29. V =In Exercises 32-35, determine the terminal point B such→that v = AB.[2].[3]33. v has opposite direction to3√10, A=(4,7).34. v is parallel to i+2j, A=(3, 1), B is on they-axis.32. v has the same direction as4√5,A= (-4,-2).||v|| =||v|| =

Answered: Image /qna-images/answer/5fc292b4-f095-4770-94cb-c09bb40900e5.jpg

Answered: 34. v is parallel to i + 2j. A = (3,…

Math

Advanced Math

34. v is parallel to i + 2j. A = (3, 1), B is on the y-axis.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.4: The Dot Product

Problem 16E

See similar textbooks

Related questions

Q: The differential equation d²y +5dy - 14y dx² equation with roots = d'y dy +5. dx² dx 0 has…

Q: Consider the integral fo fő f f(x, y, z) dx dy dz. (a) Rewrite the iterated integral in the order da…

Q: In each of Problems 1 through 26: (a) Find the general solution in terms of real functions. (b) From…

A: Given Information:The differential equation is .Objective:a) Find the general solution.b) Analyze…

Q: the answer is incorrect

Q: Fill in each matrix for diagonalization of the matrix A - A = PDP-¹ - 5 Ex: 5 2 1 1 6 2 112₂2 -2 -10…

Q: 92000 5 1000 Without using row reduction, find the inverse of A= 0 0 200 0 0 0 49 000 25 A¹ =

A: Let us find the inverse of given matrix A .

Q: Feristic values and the correspondi @quation (A -XB) X=0 if & B = aty 1 V= 0 04 relations and 1 2 3…

Q: Solve the equation Ax = b by using the LU factorization given for A. Also solve Ax = b by ordinary…

Q: Find the optimal solution for the following problem. Maximize C = 4x + 12y + 3z subject to and 15x +…

A: Take x= x1, y=x2, z=x3

Q: exi solve the Disserentail equatione using homogenous method Y (x₁x + y) dx-xdy =o

A: A first-order differential equation is homogeneous if it takes the form:

Q: Use the first four rules of inference (MP, MT, HS, DS) to derive the conclusion of the following…

Q: Consider the following subspaces: ---100---00] W span U span 2 (a) Determine a base for U + W. (b)…

Q: The following intermediate tableau for a dual maximum problem was obtained using the simplex method…

A: Finding the negetive minimum from the last row, let it be rth column. Then the pivot column is rth…

Q: Use the conditional proof method to create a proof of the following argument. 1. R.S 2. PQ /P> (Q.R)

Q: The integral in this exercise converges. Evaluate the integral without using a table. 2dx So (4+X)√X…

Q: Question 3 Where is the mistake? Valid tv P~q tt f fv q f You cannot start with the conclusion. The…

A: Let usfind the mistake in given problem

Q: For the given graph of Ax), which of the following statements is true? YA -5 15 10 LO 5 -5 -10…

Q: Prove by definition the following. a) lím (az + b) = azo+b, where a, b, zo complex constant and a #0…

Q: If f(x) is a function such that f'(-1)= 0 and f'(x) is given below, then f(x) has -3 O c. Select…

Q: 11. Let H be a subgroup of a group G and suppose that 91,92 € G. Prove that the following conditions…

Q: 3. Consider the set S {1x², -x + 2x2,1 + 2x - x²} in P2 (R). Attempting to find a linear dependence…

Q: 7. Let A and B two 3-by-3 matrices, with |B| = 1. Let C be the inverse matrix of B. Which of the…

Q: Math Using the ordered pairs definition of the integers ℤ, verify the distributive property for ℤ

A: No

Q: Consider the quadratic form F(X₁, X₂, X 3) = 25X² +34X² +41 X ² Write F - 24 X₂ X3 al F= [X² [A] [X…

A: The given quadratic form is given by F(x1,x2,x3 ) = 25 + 34 + 41 - 24

Q: 2 f(t) = sint g(x, y, z)=x² + y² D(f) = D(g) = Dg= D (fog) (t) = D(f) D(g) = =

A: This is just directional derivative or simply gradient in several variable.

Q: sin(x) Let f(x) = In(x+1)*cos(x)+ on (-1,6]. X+2 a. On what interval(s) is f(x) increasing and…

A: f(x) is increasing on an interval I if f'(x) > 0 ∀x∈I and decreasing on I if f'(x) < 0…

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = 5xy - 4x² -…

Q: Question 1. Let f(x) and g(r) be invertible and differentiable functions. The table below measures…

Q: 21. Let u AB and v= CD, where A = (-1,2), B=(3,5), C = (0, 3), D =(4,-1). a) Find a point Q such…

Q: FS Given the relations V and S below, use ordered pair notation to express the relation S o V.…

Q: Solve the Cauchy-Euler equation 4t2y"-12ty' +20y=0 with intitial conditions y(1) = 5, y(1) = 6. y(t)…

Q: Assume that fk and gm are related by the above equations parts (a) and (b) below. (a) Show that N-I…

Q: For an autonomous differential equation, why is any non-equilibrium solution entirely contained in…

A: The statement that any non-equilibrium solution of an autonomous differential equation is entirely…

Q: Consider a network with S = 10} and the adjacency matrix A given by

A: The adjacency matrix also called the connection matrix is a matrix containing rows and columns which…

Q: 2. Show that U (5) is isomorphic to U(10), but U(12) is not isomorphic to U (10).

Q: Consider the following tableau: P 0 0 X2 $1 S2 RHS 1 0 0 1 X1 1 0 1 −1 1 −5 -4 000 a) Determine the…

A: The intermediate simplex tableau is given as follows:0171-18-5-4(a) The pivot column in the column…

Q: 段階的に解決し、人工知能を使用せず、優れた仕事を行いますご支援ありがとうございました SOLVE STEP BY STEP IN DIGITAL FORMAT DON'T USE AI…

Q: Find the general solution to y" + 4y" + 20y = 0. In your answer, use c₁, c₂ and c3 to denote…

Q: Compute the Fourier sine series for the function f(x) = 4, 0<x<3/2 3/2 ≤r <3 0 80 -Σ( what does the…

A: Formula

Q: If 50 f(x) dx exists, then f(x) da exists for every real number b> a

Q: 1.a) Graph f(x) = ¼ for 2 ≤ x ≤ 6 distribution is this? b) What kind of

A: for

Q: Assume that the matrices below are partitioned conformably for block multiplication. Compute the…

A: Given matrices

Q: 8. Use the non-recursive formula for the Fibonnaci numbers given in Theorem 3.3.7 to deduce that for…

A: Rewrite the given formula and then proceed to solve the problem

Q: Use Stoke's Theorem to evaluate the line integral -4ydx +-3zdy+dz where C is the intersection of…

Q: Example 7.2. Find a solution of the following system of ODEs using method of variation of…

Q: 2 MP Dist 1 2 3 4 4 ● J DV = () { } [] MT DN HS DS Trans Impl Equiv PREMISE J (KL) PREMISE LvJ…

A: PREMISE PREMISE PREMISE

Q: f(x,y,z) = xe2y + ye3z + ze-x .Give general formulas for ∂n f/∂xn, ∂n f/∂yn , and ∂n f/∂zn, where n…

Q: Show that the straight lines x(a + 2b) + y(a + 3b) = a + b for different values of a and b pass…

Q: Identify the polar representation of −5+5i√3 7π O 10e¹6 2 O 10e¹ 5 п 4T O 10e¹3 2πT O 10e¹3

Q: 15. Consider the following set of preference lists: Rank First Second Third 1 A B E Number of Voters…

A: Number of votes vs rank table is given.Calculate the winner using the plurality voting

Question

Linear algebra: please solve q34 correctly and handwritten

In Exercises 28-31, find a unit vector u that has the same
direction as the given vector v.
[2]
28. v =
30. v = i +j
3
-[³]
4
31. v = 3i - 2j
29. V =
In Exercises 32-35, determine the terminal point B such
→
that v = AB.
[2].
[3]
33. v has opposite direction to
3√10, A=(4,7).
34. v is parallel to i+2j, A=(3, 1), B is on the
y-axis.
32. v has the same direction as
4√5,
A= (-4,-2).
||v|| =
||v|| =

Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.

Expert Solution