Start your trial now! First week only $4.99!*arrow_forward*

Question

What is the determinant formula for calculating the cross product of two vectors relative to the Cartesian i, j, k-coordinate system? Use it in an example.

Tagged in

Math

Calculus

Find answers to questions asked by students like you.

Q: Show that the point P(3, 1, 2) is equidistant from the points A(2, -1, 3) and B(4, 3, 1).

A: Let the distance between P(3, 1, 2) and A(2, -1, 3) be d1 and the distance between P(3, 1, 2) and B(...

Q: How to find the inverse of a 3 x 3 matrix in the image.

A: Given:

Q: Find the point on the parabola x = t, y = t2, -infinity<=t <=infinity, closest to the point (2...

A: Consider the required point as (x,y)Consider the formula of distance between the two points.

Q: Find the acute angles between the lines and planes in Exercises 51 and 52. 51. x = 1 - t, y = 3t, z ...

A: Given:The line equations x = 1 - t, y = 3t, z = 1 + t.

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: Determine whether the following limits are finite, ∞, or −∞. If the limit does not exist for any oth...

A: Click to see the answer

Q: How would I evaluate this indefinite integral?

A: Consider the provided indefinite integral,Simplify the given indefinite integral as follows,

Q: Find the dimensions of the rectangle of largest area that can be inscribed in the ellipse x2 + 4y2 =...

A: Click to see the answer

Q: Describe the interval(s) on which the function is continuous. (Enter your answer using interval nota...

A: Consider the provided function,f(x) = (x+8)/(square root x)The rational function is continuous every...

Q: 4. Recall that the set of Complex Numbers is defined as C = {z| z = a + ib, where a,b eR and i = v-1...

A: (a)

Q: х on the interval [2, 6]. 11 The rectangles in the graph below illustrate a left endpoint Riemann su...

A: The formula to calculate the Riemann Sum using left end points is given as,

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 derivative of the following function s2 ds Vĩ 2 + 5s4 F(x) = using the appropriate form of ...

A: Given

Q: What is the binomial series? On what interval does it converge? How is it used?

A: Given:What is the binomial series? On what interval does it converge? How is it used?

Q: п What happens to x cos(nx)dx when n = 0? Justify your answer.

A: First of all, consider the given integral value and integrate.Let nx = a.Calculate dx and the limits...

Q: Estimate the error if P 3(x) = x - (x^3/6) is used to estimate the value of sin x at x = 0.1.

A: Given:

Q: if you have a parametric equation grapher, graph the equations over the given intervals a. Epicyclo...

A: a) Graphed Epicycloid x = 9 cos t - cos 9t, y = 9 sin t - sin 9t; 0<=t<=2pai using graphing ca...

Q: Find the perimeter of the triangle with vertices A(-1, 2, 1), B(1, -1, 3), and C(3, 4, 5).

A: Given:The vertices A(-1, 2, 1), B(1, -1, 3), and C(3, 4, 5).The perimeter of the triangle is AB + BC...

Q: a. Show that every vertical line in the xy-plane has a polar equation of the form r = a sec u. b. Fi...

A: Calculation:

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

A: To describe the geometric curve satisfied by the equation.

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: Find the area under one arch of the cycloid x = a(t - sin t), y = a(1 - cos t).

A: Click to see the answer

Q: Exercises 49–50 give equations for ellipses and tell how many units up or down and to the right or l...

A: Note: We’ll answer the 49th question since we answer only one question at a time. Please submit a ne...

Q: What geometric or physical interpretations do cross products have? Give examples.

A: Geometric or physical interpretations:The magnitude of the cross product of two vectors is the area ...

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: Find the vector from the origin to the point of intersection of the medians of the triangle whose ve...

A: To determine the point of intersection of the medians of the triangle.

Q: Find the area enclosed by the y-axis and the curve x = t - t2, y = 1 + e-t .

A: Click to see the answer

Q: #13

A: Given,

Q: Find the centroid of the region that is bounded below by the x-axis and above by the ellipse (x2/9) ...

A: As shown in the figure the ellipse is bounded below by x-axis.It is clear from the symmetry that the...

Q: Suppose n is an integer. So Show that for n+0, ſ x cos(nx)dx = { п n is even (a) 2 п is odd n2

A: Click to see the answer

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: In Exercises 1–2, find the length and direction (when defined) of u * v and v * u. 1. u =-8i - 2j - ...

A: find the length and direction (when defined) of u * v and v * u.

Q: Calculate the derivative: y = sin2xln(sin22x)

A: The given function is,

Q: If a vector is multiplied by a positive scalar, how is the result re-lated to the original vector? W...

A: Explanation:

Q: Find the binomial series for the functions in Exercises 11–13. 11. (1 + x)4 12. (1 - 2x)3 13. (1 + ...

A: As per our norms, I am going to solve only one question as you have posted multiple question so plea...

Q: Find an equation for the hyperbola with foci (0, -2) and (0, 2) that passes through the point (12, 7...

A: Click to see the answer

Q: What points in the xy-plane satisfy the equations and inequalities in Exercises 11–12? Draw a figure...

A: Since you have submitted two questions, we\'ll answer the first question. For the second question pl...

Q: How much work does it take to slide a crate 20 m along a loading dock by pulling on it with a 200-N ...

A: given How much work does it take to slide a crate 20 m along a loading dock by pulling on it with a ...

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

A: Given

Q: Use this formula to find the slope of the tangent line to the curve at the given x-value. f(x) = 2x...

A: Click to see the answer

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: Consider a triangle whose vertices are A(2, -3, 4), B(1, 0, -1), and C(3, 1, 2). a. Find vector AB +...

A: Click to see the answer

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: What happens if you add a finite number of terms to a convergent series? A divergent series? What ha...

A: As there are multiple parts to the question, we will address the par related to divergent series fir...

Q: find the Taylor series at x = 0 of the functions in Exercises 1–2. 1.ln(3+6x) 2. 5sin ( -x)

A: Consider the given question,(1)The Taylor series at x = 0 is given by,

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: express each vector in the form v = y1i + y2j + y3k. 5u - v if u = <1, 1, -1>and v = <2, 0,...

A: Given vectors