Answered: a) Oppositely directed to v = (1, —2)…

Math

Calculus

a) Oppositely directed to v = (1, —2) and half the length of v. w= (b) Length and same direction as v = (5, 0, —1). w=

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.1: Length And Dot Product In R^n

Problem 17E: Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of...

See similar textbooks

Related questions

Q: At which value/s of x does the graph of y = x - 6x² +9x- 2 have a horizontal tangent line? Write the...

A: Given: y=x3-6x2+9x-2 We know that a function has a horizontal tangent at the point where derivative ...

Q: Find the area of the triangle with vertices P(1,4, –2), Q(0,0,0) and R(4,5, 1). NOTE: Enter the exac...

A: Given P1,4,-2, Q0,0,0 & R4,5,1 To find Area of triangle PQR

Q: values

A: We will find the limits.

Q: 6. Find the minimum surface area of a box that holds 2 cubic meters.

Q: The slope of the tangent line to the curve y 2a at the point (- 5, – 250) is: The equation of this t...

A: here for slpope we have to differentiate function y =2x3 dy/dx = 6x2 slope at (-5 , -250) dy/dx = 6(...

Q: Type your answer in the following order and format: a=0,b=4. DO NOT include spaces in between charac...

Q: y = 4 – x2 from x = -3 to x = 3.

Q: Set up the triple integral needed to compute the volume of the tetrahedron bounded by the plane 14z ...

Q: What is the average value of the function f(x) = sin2xcos3x on the interval [0,? a. t b. 0 π с. d. 1...

Q: In Exercises 19-24, find the absolute maximum and minimum of the function subject to the given const...

Q: the

Q: Find the critical numbers, if any, of the function f(x) = 3x5 - 25x3 + 60x + 15 and then use a Maple...

Q: ity 5: Do what is asked. Show neat and complete solutions on your answer A Norman window is construc...

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: Evaluate the double integral. y dA, x2 + 1 D = {(x, y) | 0 s x5 8, 0 s ys V} 29727

Q: x5 dx (36x2 + 1)7

A: Let I = ∫x536x2+132dx Take x2 = t⇒2dx = dt ⇒I = 12∫t236t+132dt

Q: et –1 t2 – 3t + 5 lim t-0 t t2 – 1

Q: Find an equation of the tangent line to the graph of y x at the point where x e. .... The equation o...

Q: Find the vector component of v = (4, – 1,7) along b = (4, 8, –8) and the vector component of v ortho...

Q: (a) Find the differential dy of y = e#/5. (b) Evaluate dy for a = 0, dx = .1. (a) dy = dx (b) dy =

A: Solved below

Q: Note: Values of x should be typed in INCREASING order from LEFT to RIGHT. DO NOT include spaces in b...

Q: Fg(x) = 1 Vx-1

Q: dt 20.5 t2+2t A - In|t? + 2t| + C B. 2ln +C C. In +C D. In + C

A: First we common out t2 from denominator and then put 1+2/t=u and differentiate both sides with respe...

Q: QUN Fiad devalerf (m) that make the ange betueen te ne veopal

Q: i-125 + 2i213 + 3i-314 5i97 – 4i85

Q: y? 1 25 x2 49 and y(2) = 5 V5, find y'(2) by implicit differentiation. /(2)

A: Given query is to find indicated derivative.

Q: DO NOT include spaces in between characters. * 7 Given y = (3x° +6) 2x- Find the value y' at x = -. ...

Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the i...

Q: S(6w +12w) Vw + w° dw

Q: Evaluate , (5"3-). Write fractions as an improper fraction a/b. %=D1 fit does not converge, write "I...

A: We will evaluate the series.

Q: I did the first number. Answer only number 2 and 3. Evaluate the following limits.

Q: B. Balloon B has been removed from service and the radius of the balloon is decreasing at a rate of ...

Q: - (2e'cos t) i+ (2e'sin t)j 7K Find T, N, and k for the space curve 7k.

A: Given, The space curve is rt=2etcosti+2etsintj+7k.To find : Find, T, N and k for the given...

Q: 5. The graph of y= h(x) is shown below. The function f(x) is defined by f(x)=--h(x)+3. (a) What thre...

A: Let's find.

Q: Calculate the volume of the solid formed when the area shown below enclosed by the curve y = Vx, the...

A: To find the volume of the region bounded by the curve y=x, x=0, x=6:

Q: Suppose f is a function such that f'(7) is undefined. Which following statements is always true? a. ...

A: for the define f'(7) the function must be contineous at 7 but here undefine is given so answer is b...

Q: Lim 9. x + 4

Q: Let a = (2, –3, 5) and b = (4, 1, –1). Compute: a +b = (. a – b = ( 4. 2а 3

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A: Vectors with opposite directions have 180° angle between them.x and y components have opposite signs...

Q: The table below shows the number of accidents, fatalities, hours flown, and miles flown for a countr...

A: Given: Year Accidents Fatalities Hours Flown (millions) Miles Flown (billions) 2004 49 95 1...

Q: At which value/s of x does the graph of y=x' - 6x +9x- 2 have a horizontal tangent line? Write the v...

A: In this question, we need to find the values of x in which the given graph has a horizontal tangent ...

Q: SVEsin(1+ VF )dz 4 Vz sin .3

Q: 2x?-8х+7 x 0 x-6x3

Q: 8. A curve whose slope at any point is 6x² А. у %3D 2х3 — х? +х+6 - 2x + 1 passes through the point ...

A: We need to find equation of curve.

Q: (2x2- 8х + 7 | 9x2 + 5x – 3' -4x3+6x2 – 15 Suppose f (x) x > 0 x – 6x3 Evaluate as lim f(x) X00

A: Let's find.

Q: 3.Determine the equation of an ellipse that satisfies the following properties: - the center point a...

Q: The slope of the tangent line to the curve y at the point 6, is: 3 The equation of this tangent line...

Q: a Fate of change, r' (t) for the radius of Ralloon A over the time interval 0 <t < 10. t (minutes) 4...

Q: 10. Consider the bit strings in B (bit strings of length 6 and weight 2). (a) How many of those bit ...

Q: Find two unit vectors in 2-space that make an angle of 45° with 10i +3, NOTE: Enter the exact answer...

Q: B) Use the diagram below to identify points, lines, and the plane. 1) List three collinear points. 2...

A: Given question:- use the diagram below to identify points

Question

Find the vectors that satisfy the stated conditions.
NOTE: Enter the exact answers using the provided round brackets.. (a) Oppositely directed to v = (1, —2) and half the length of v. w=

(b) Length and same direction as v = (5, 0, —1).
w=

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