Question

Find a vector in the plane parallel to the line ax + by = c.

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: Suppose that A, B, and C are vertices of a triangle and that a, b, and c are, respectively, the midp...

A: Let A=(x1,y1,z1)B=(x2,y2,z2)C=(x3,y3,z3) 

Q: Find the areas of the triangles whose vertices are given in Exercises 41–47. 41. A(0, 0), B(-2, 3), ...

A: Since we only answer up to 1 question, we’ll answer the first question. Please resubmit the question...

Q: I just need #28

A: We know that,

Q: Show that squares are the only rect-angles with perpendicular diagonals.

A: Consider u and v as the sides of the rectangle.The diagonals are perpendicular.Consider the diagonal...

Q: Find a 2 * 2 determinant formula for the area of the triangle in the xy-plane with vertices at (0, 0...

A: Given, vertices of the triangle are

Q: find the component form of the vector. The vector 2 units long in the direction 4i - j

A: Given vector is u = 4i – j. So, the unit vector in the direction of the given vector is

Q: Find the volume of the solid generated by revolving the region enclosed by the ellipse 9x2 + 4y2 = 3...

A: Find the volume of the solid generated by revolving the region enclosed by the ellipse 9x2 + 4y2 = 3...

Q: What is an infinite series? What does it mean for such a series to converge? To diverge? Give exampl...

A: Click to see the answer

Q: Considel the following TUnction and its graph. f(x) = -2 Use the graph to determine the limit visual...

A: The given graph of the function is

Q: Estimate the error if P4(x) = 1 + x + (x2/2) + (x3/6) + (x4/24) is used to estimate the value of ex ...

A: Calculate the actual value of ex at x=1/2

Q: Find the first four nonzero terms in the Maclaurin series for the functions in Exercises 31–38. 31. ...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: I need to compute each limit. The limit is ... lim x -> 0 4(x+1)2+3(x+1)-7 —————        x

A: Click to see the answer

Q: ) = 5 + 4 sin(x). If f(0) = 3 and f' (0) = 4, what is f(x)? Consider the function f(x) whose second ...

A: Given:

Q: Show that the vector v = ai + bj is parallel to the line bx - ay = c by establishing that the slope ...

A: We first have to find the slope of the given vector and the line. If the slopes are equal then they ...

Q: Find parametrizations for the line segments joining the points in Exercises 13–16. Draw coordinate a...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: describe the given set with a single equation or with a pair of equations.The line through the point...

A: To determine the equation of a line passing through (1, 3,-1) parallel to,Part (a) x-axisPart (b) y-...

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: Find a plane through the points P1(1, 2, 3), P2(3, 2, 1) and perpendicular to the plane 4x - y + 2z ...

A: The given points and the plane are,

Q: The circles r = sqrt(3) cos u and r = sin u intersect at the point (sqrt(3)/2, pai/3). Show that the...

A: For r=sqrt(3)cos(theta) find dr/d theta 

Q: Find the X and Y intercepts of  y= 1 - the square root of 1 -x2

A: Given,

Q: Find all polar coordinates of the origin.

A: We know that when we convert cartesian coordinates into polar coordinates, then we use the relation

Q: obtain a slope field and add to it graphs of the solution curves passing through the given points. y...

A: Click to see the answer

Q: Find the point equidistant from the points (0, 0, 0), (0, 4, 0), (3, 0, 0), and (2, 2, -3).

A: Find the point equidistant from the points (0, 0, 0), (0, 4, 0), (3, 0, 0), and (2, 2, -3).

Q: Graph the sets of points whose polar coordinates satisfy the equations and inequalities in. 1. 0<...

A: Problem1:The given inequality is the collection of all circles with radius 0 to 2, including both. T...

Q: Find a formula for the distance from the point P(x, y, z) to the a. xy-plane . b. yz-plane c. zx-pla...

A: a) xy plane is given by z=0 We have to find distance of (x,y,z) from z=0 

Q: _The Cauchy-Schwarz Inequality states .+ a%)(b} + b3 + ...+ b,) (a,b1 + azb2 + ...+ a,bn)? < (aỉ + a...

A: Given

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

A: (a)

Q: Find the areas of the parallelograms whose vertices are given in Exercises 35–40. 35. A(1, 0), B(0, ...

A: Area of parallelogram ABCD is |AB x AD|  

Q: Give some typical parametrizations for lines, circles, parabolas, ellipses, and hyperbolas. How migh...

A: First of all, consider the cartesian form of the equation for the line.Then, consider the parametriz...

Q: Write a polynomial f(x) of degree 5, with integer coefficients, and with zeros -2 (multiplicity 2), ...

A: Given, polynomial f(x) is of degree 5, with integer coefficients, and with zeros -2 (multiplicity 2)...

Q: The question says: "Sketch the graph of a function for which f(0)=0, f'(0)=3, f'(1)=0, and f'(2)=-1....

A: Click to see the answer

Q: Sketch the surfaces 1. z = y2 - 1 2. 4x2 + y2 = 36

A: Using graphing calculator to sketch themz=y^2-1

Q: The ellipse (x2/16) + (y2/9) = 1 is shifted 4 units to the right and 3 units up to generate the elli...

A: First list the formulas for ellipse.

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: Exercises 9–11 give equations of parabolas. Find each parabola’s focus and directrix. Then sketch th...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: describe the given set with a single equation or with a pair of equations. The set of points in spac...

A: Let any such point = (x,y,z) So, (x,y,z) is 2 units from the point (0, 0, 1) .Express this using dis...

Q: The rectangles in the graph below illustrate a left endpoint Riemann sum for f(x)=(x^2)/(12)     f(x...

A: Given:

Q: What is the Taylor series generated by a function ƒ(x) at a point x = a? What information do you nee...

A: With Taylor series, possible to guess what a function will look like in the area around the chosen p...

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: Use the component form to generate an equation for the plane through P1(4, 1, 5) normal to n1 = i - ...

A: Recall the following fact.

Q: Find a vector of magnitude 7 in the direction of v = 12i - 5k

A: Given vector is v = 12i – 5k. First find the direction of the given vector

Q: What are box products? What significance do they have? How are they evaluated? Give an example.

A: Box product is defined as follows.

Q: In Exercises 35–38,  find an equation for the line through P perpendicular to v. Then sketch the lin...

A: given an equation for the line through P perpendicular to v

Q: The vertices of an ellipse of eccentricity 0.5 lie at the points (0, +-2). Where do the foci lie?

A: The vertices of an ellipse of eccentricity is 0.5 lies on (0,+-2). Find the foci

Q: Sketch the surfaces 1. 9x2 + y2 + z2 = 9  2. 4x2 + 9y2 + 4z2 = 36

A: Using graphing calculator to graph them. 9x^2 + y^2 + z^2 = 9 

Q: The hyperbola (x2/16) - (y2/9) = 1 is shifted 2 units to the right to generate the hyperbola (x - 2)...

A: Click to see the answer

Q: Exercises 17–20 give equations for ellipses. Put each equation in standard form. Then sketch the ell...

A: Note: We’ll answer the 17th question since we answer only one question at a time. Please submit a ne...

Q: Exercises 1–4 give equations of parabolas. Find each parabola’s focus and directrix. Then sketch the...

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If y...

Q: In Exercises 1–3, find a. v. u,| v|,|u| b. the cosine of the angle between v and u c. the scalar com...

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...

Q: Prove that a parallelo-gram is a rectangle if and only if its diagonals are equal in length. (This f...

A: Consider a parallelogram ABCD having diagonals AC and BD such that, AC=BD.