Please answer and write correctly and neatly.Let u = (-1, 3), v = (2, 4), and w = (2, -5). Find the component form of the vectora) u + vb) u - wc) 3u + 2wd) 2u - 4ve) -4u - 3vPlease follow the format in the image below. Let a = (-2, 4), b = (1, 5), and c = (2,-5). Find the component form of the vectora) a+b=(-2+ 1)ax + (4+5)ay= -ax+ 9ay or (-1,9)b) a-c=(-2-(2))ax + (4-(-5))ay= -4ax + 9ay or (-4,9)c) 4a + 3ca=4[]=(-8,16)c=3[_]= (6,-15)=(-8+(6))ax + (16-15)ay= -2ax + ay or (-2,1)

Answered: Image /qna-images/answer/d7e9c67b-5c74-4aaf-a102-a04432b9a53a.jpg

Answered: Please answer and write correctly and…

Please answer and write correctly and neatly. Let u = (-1, 3), v = (2, 4), and w = (2, -5). Find the component form of the vector a) u + v b) u - w c) 3u + 2w d) 2u - 4v e) -4u - 3v

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.5: Basis And Dimension

Problem 69E: Find a basis for R2 that includes the vector (2,2).

See similar textbooks

Related questions

Q: Find (fog)(5) for f(x) = 2x² - 5 and g(x) = x - 6 O a) -3 Ob) -13 0 c) 9 d) 13

Q: 1. 3 √√7 lies on the unit circle. Draw a diagram and find the 4 4 exact values of all sine, tane and…

A: We know, Sinx = perpendicular/hypotenuse Tanx= perpendicular/base Secx = hypotenuse/base

Q: To find the distance to the sun, we need to know the distance to the moon. Here is a way to estimate…

A: Given, Arc length(s)= 6155 mi Radius of earth(r)= 3960 mi

Q: You are standing at the top of a lighthouse, looking down towards a boat on the water. From your…

Q: Triangle ABC has a = 5.1 cm, b = 5.7 cm and C = 6.2 cm. A b C a B Determine the measure of ZB. State…

Q: For the right triangle below, find the measure of the angle. Figure is not to scale. Round to at…

Q: Find the area of the trapezoid shown below 12 5.8 11.6 14.5 13

A: Topic = Area

Q: Solve 6 sin(2x) - 3 = 0, when 0 ≤ ≤ 2T. I

Q: 1 cos²0 1 sin 9 1 tan 8 + tan 8 + || || Trigono 1 sin² 0 cos²0 1 sin cos 0

Q: Find the inverse function of AUTY 332- -1^/ 10

Q: Solve 4 cos(2t) = 4 cos² (t) - 3 for all solutions 0 < t < 2T t =

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: L1Q2. Determine the nature of the graph of the function y = x2 - 2x using end behavior. A.Down on…

A: Given that function y = x2-2x we have to determine the nature of the graph of the function.…

Q: Sketch a triangle that has acute angle ?. than find ratios of tan theta squareroot 15 sin theta =…

A: Solution :

Q: a) What makes this graph periodic? b) What is the period? c) What is the amplitude? d) Domain and…

A: Follow the procedure given below.

Q: Which of the following is an equivalent expression to: 1-cos² (0) sin (0) cos(0)

Q: A wind-swept tree grows at an angle of 85°. An environmental scientist wants to know the height of…

A: We want to find the height of the tree.

Q: Which is a solution for the equation: 2(1 - cos²x) = 3 O 130° 240° 330⁰ O 30°

A: Solution ) 2 ( 1 - cos2 x ) = 3/2 [ sin2x + cos2x = 1 sin2x = 1 - cos2x ] 2 ( sin2x ) = 3/2…

Q: To find the distance across a river, a surveyor chose points A and B, which are 249 feet apart on…

A: Given,

Q: Given the triangle below, find the following: Note: picture is NOT drawn to scale. Round all answers…

A: Given figure:-

Q: If sin(0) = -0.6 and sec(0) < 0, then tan(0) is: a) 3 Ob) -- c) // Od) 23/12

A: This question can be solved using the concept of sign of trigonometric functions in various…

Q: Which of the following statements is false for an angle of radians, rotated from standard position?…

Q: Which one of the following is not a Pythagorean identity? a) They are all Pythagorean identities b)…

A: Recall: Pythagorean identities sin2(θ)+cos2(θ)=1 csc2(θ)-cot2(θ)=1 tan2(θ)-sec2(θ)=1

Q: For each cyclic graph shown below, state the following: Fraph #1 The period: The maximum: The…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: bisod srt 2i 161 woh d 4 km 5 km no dignol erit enim 6 km

Q: 2. Solve the following using an appropriate cofunction identity. sin 4 = = COS X

Q: Tab K Caps Loc @ W 3 $ 4 D 5 & 7 F8 Lo 8 F9 F10 F11 10 F12 Find the unit vector that has the…

Q: Find the area of the region in the first quadrant bounded by the hyperbola x2-y2-4 and one of its…

Q: 1. Prove the trigonometric identity. tan²0 sec 0-1 1 = sec 0

Q: Problem 02: (a) A predator is flying at a constant speed along with a constant height of 100 m that…

A: Given data:- Flying height of the predator from the ground level is 100 m Angle between the predator…

Q: Solve the equation for solutions in the interval 0 < x < 2. Round approximate solutions to the…

A: Given equation:- 4sinxcosx-23sinx-22cosx+6=0

Q: Solve for x in the interval 0 < < 2T. log₂ (sin(z)) + log₂(cos(z)) = 2 a) there is no solution b) z…

Q: Use the information given about the angle 0, 0≤0≤2л, to find the exact value of cos cos () = 3 5'…

Q: Describe how you would create sketches of the following functions: a) y = 2 sin (x + 180°) b) y =…

Q: When a linear function and a quadratic function are combined through addition, the result is a…

Q: Find x rounded to one decimal place. X = X 84 60° k 30° X

Q: John stands 145 feet from a Bldg. He has a telescope 5 feet from the ground and views the Building…

Q: 10. The value of x in the following triangle word be most easily Solved by using the 110° 40m boc…

Q: 48. Simplify a. 1/cos x b. 1/secx c. 1/tan x d. 1/sin x 1 sin³ x col² x sin x

Q: 5. a = 12 ft, b = 7 ft, c = 19 ft m ZA= m 2B=

A: The solution is given below

Q: Let f(x) = log₂ (x²+2x+1) and g(z) = log₂(x+1), find h(x) = f(x) + g(x). Oa) h(z) = 0 Ob) h(t) = 2 O…

A: This question can be solved using the concept of logarithmic function.

Q: A lot is in the form of a parallelogram whose shorter diagonal is perpendicular to its 50 meters…

A: We have to determine the area and perimeter of the lot.

Q: 3. mC = 125°, b = 6 mm, c = 9mm m ZA= mZB= a=

A: topic - law of sines and cosines

Q: Does cos (π/2 - x) = cos (x - π/2)? Explain with examples

Q: = For positive acute angles A and B, it is known that tan A Find the value of cos(A + B) in simplest…

Q: Find the exact value of tan (α - ß) under the given conditions. 8 T 5 π 13' 2 17' 2 Cos α = <α<; sin…

Q: Find the area A of the sector shown in each figure. (a) A = || X 67° 9

A: This question can be solved using the concept of area of sector.

Q: The measure of the complement of a given angle is four times the measure of the angle. Find the…

A: The measure of the complement of a given angle is four times the measure of the angle. To find the…

Q: The special triangle, and has corresponding sides of: O a) 4, 4, 2 b) 9, 4, 4 O c) 1, 1, √2 d) 1,√3,…

Q: Question 18 If cos(x) = (in Quadrant 1), find Give exact answers. ¹(²½-) = sin $(²7) = 1 COS ª(²/7)…

Q: Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an…

A: Here we have to find the remaining parts of triangle.

Question

Please answer and write correctly and neatly.

Let u = (-1, 3), v = (2, 4), and w = (2, -5). Find the component form of the vector
a) u + v
b) u - w
c) 3u + 2w
d) 2u - 4v
e) -4u - 3v

Please follow the format in the image below.

Let a = (-2, 4), b = (1, 5), and c = (2,-5). Find the component form of the vector
a) a+b
=(-2+ 1)ax + (4+5)ay
= -ax+ 9ay or (-1,9)
b) a-c
=(-2-(2))ax + (4-(-5))ay
= -4ax + 9ay or (-4,9)
c) 4a + 3c
a=4[]=(-8,16)
c=3[_]= (6,-15)
=(-8+(6))ax + (16-15)ay
= -2ax + ay or (-2,1)

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here