Question

Consider a triangle whose vertices are A(2, -3, 4), B(1, 0, -1), and C(3, 1, 2). a. Find vector AB + BC + CA. b. Find  vector BA + AC +CB.

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

Other

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: Let u = <1, 2, 1> , v = <1, -1, -1> , w = <1, 1, -1> , and z = <2, -3, -4> ....

A: Given vectors

Q: The “triangular” region in the first quadrant bounded by the x-axis, the line x = 4, and the hyperbo...

A: Given,

Q: A 200-gal tank is half full of distilled water. At time t = 0, a solution containing 0.5 lb /gal of ...

A: Given that the size of the tank is 200 gallon. Half of it is full, that means 200/2=100 gallon is fu...

Q: (3x2 − 2xy + 2) + (6y2 − x2 + 3)y′ = 0

A: Given that(3x2 − 2xy + 2) + (6y2 − x2 + 3)y′ = 0(3x2 − 2xy + 2) + (6y2 − x2 + 3)(dy/dx) = 0(3x2 − 2x...

Q: What is an autonomous system of differential equations? What is a solution to such a system? What is...

A: Click to see the answer

Q: What values of p have the following property: The area of the region in the first quadrant enclosed ...

A: GivenThe area of the region in the first quadrant enclosed by the curve y = x^-p, the y-axis, the li...

Q: Looking for help for all of the questions with lines next to them.

A: Since you have asked multiple questions, we will solve the first three questions for you. If you wan...

Q: Use the equation ƒ(x) = ƒ(a) + ƒ′(a)(x - a) + ƒ′′(c2) /2 (x - a)2 to establish the following test. L...

A: For the given function to determine its behaviour at a critical point x=a, use second derivative tes...

Q: In Exercises 1–3, give a geometric description of the set of points in space whose coordinates satis...

A: Hi there! Thank you for the question, but as per our guidelines we can solve only one question at a ...

Q: Express as a single logarithm and if possible simplify

A: Click to see the answer

Q: What is the exact value for cos(cos-1(1))

A: Click to see the answer

Q: What are the Direct Comparison Test and the Limit Comparison Test? What is the reasoning behind thes...

A: Direct comparison test:

Q: 3. Write the function defined by fx) = -2x2- 12x in vertex form and identify the vertex of the parab...

A: Given,

Q: A component of a spacecraft has both a main system and a backup system operating throughout a flight...

A: Given: A component of a spacecraft has both a main system and a backup system operating throughout a...

Q: In the function:  f(x)= (3x^2)ln(x) , x>0 What are the vertical asymptotes?

A: Given function is,

Q: let u = <1, 2, 2> , v = <1, -1, -1>, w = <1, 3, -1> , and z = <2, 11, 8>. Wr...

A: Given: u1 is parallel to u, u2 is parallel to v, and u3 is parallel to w.So, u1= au , u2=bv and u3=c...

Q: 10. A motorist drives on a toll road to and from work each day and pays $4.25 in tolls one-way. a. W...

A: (a)It is given that the motorist drives on toll road and pays $4.25 in toll one day.Multiply the num...

Q: if you have a parametric equation grapher, graph the equations over the given intervals x = 2 cos t ...

A: Click to see the answer

Q: What is the Integral Test? What is the reasoning behind it? Give an example of its use.

A: Click to see the answer

Q: In each of Problems 18 through 21, find an integrating factor and solve the given equation. 18. (3x2...

A: Given the equation,(3x2y + 2xy + y3) + (x2 + y2)y′ = 0

Q: Express as a single logarithm and if possible simplify

A: We have given the expression

Q: In the function:  f(x)= (7x+B)/(4x+b) , with 7b>4B At which x-coordinates are there points of inf...

A: Click to see the answer

Q: Find a formula for the distance from the point P(x, y, z) to the a. x-axis.    b. y-axis    c. z-axi...

A: The formula for distance between two points (x, y, z) and (a, b, c) is

Q: In the fucntion:  f(x)= (12-3x)(e^x)  When is the function concave up and concave down in interval n...

A: Given,f(x)= (12-3x)(e^x) By definition,

Q: In Exercises 1–8, find the eccentricity of the ellipse. Then find and graph the ellipse’s foci and d...

A: Click to see the answer

Q: Solve the homogeneous equations (x2 + y2) dx + xy dy = 0

A: Click to see the answer

Q: 50. A tow truck drags a stalled car along a road. The chain makes an angle of 30° with the road and ...

A: According to the given information:Force = 1500 NChain makes an angle 300It is required to calculate...

Q: Find parametric equations for the circle x2 + y2 = a2, using as parameter the arc length s measured ...

A: The given equation of circle is,

Q: Use the table to evaluate each expression. 3 х f(x) 4 4 4 1 g(x) 3 4 (a) f(g(1)) (b) g(f(1)) (c) f(f...

A: Given a table

Q: The parabola y2 = 8x is shifted down 2 units and right 1 unit to generate the parabola ( y + 2)2 = 8...

A: Given equation of parabola after shifting

Q: What consequence does the lack of uniqueness of polar coordi-nates have for graphing? Give an exampl...

A: Click to see the answer

Q: Determine whether the following statements are true or false:  1. ln(x')=[ln x]'  2. any continuous ...

A: The given statement is,

Q: What integral equation is equivalent to the initial value problem y′ = ƒ(x), y(x0) = y0?

A: Write y'= dy/dxThen separate the variables.

Q: Find the derivative of the following function g2 F(x) = ds a 3+ 5s4 using the appropriate form of th...

A: Given that,

Q: What are polar coordinates? What equations relate polar coordi-nates to Cartesian coordinates? Why m...

A: Consider an origin as O and an initial ray from the origin. The positive x-axis is usually considere...

Q: The region bounded on the left by the y-axis, on the right by the hyperbola x2 - y2 = 1, and above a...

A: Given,The region bounded on the left by the y-axis, on the right by the hyperbola

Q: A reservoir shaped like a right-circular cone, point down, 20 ft across the top and 8 ft deep, is fu...

A: Given: A reservoir shaped like a right-circular cone, point down, 20 ft across the top and 8 ft deep...

Q: Find parametric equations and a parameter interval for the motion of a particle that starts at (a, 0...

A: (a)

Q: Find the lengths of the curves in Exercises 25–27. 25. x = cos t, y = t + sin t, 0 <=t<= pai 2...

A: The given curve is

Q: Find the volume swept out by revolving the region bounded by the y-axis and the graph of x = t (1 - ...

A: Given,

Q: Show that the line b2xx1 + a2yy1 - a2b2 = 0 is tangent to the ellipse b2x2 + a2y2 - a2b2 = 0 at the ...

A: Click to see the answer

Q: (2x + 3) + (2y − 2)y′ = 0

A: Given,

Q: Find the volume using the shell method. x = 8y2, y ≥ 0, x = 8;  about y = 2

A: Given:x = 8y2, y ≥ 0, x = 8;  about y = 2

Q: Find parametric equations and a parameter interval for the motion of a particle that starts at (a, 0...

A: Click to see the answer

Q: What is a Maclaurin series?

A: The Maclaurin series of f is the Taylor series generated by,

Q: dy/dx of y=e^3x+1

A: Click to see the answer

Q: Find the first four terms of the binomial series for the functions in Exercises 1–4. 1. (1 + x)^1/2 ...

A: Since we only answer the first question, we’ll answer the first. Please resubmit the question and sp...

Q: What is a parabola? What are the Cartesian equations for parabo-las whose vertices lie at the origin...

A: Explanation:

Q: What is the formula for the slope dy/dx of a parametrized curve x = ƒ(t), y = g(t)? When does the fo...

A: Given parametric curves are

Q: A company produces wooden tables. The company has fixed costs of $2900, and it costs an additional $...

A: Recall that: Profit = Revenue – Expense