find the area of triangle between V and W YA (1, 1, 1), V W

Q: Find the area of the cardioid r = 4 + 3 sin theta that lies in Quadrants I and IV.

A: Given the cardioid that lies in the 1st and 4th quadrant

Q: Find the area of the cardioid r=2(1+cosθ). a. 2π b. 4π c. 5π d. 6π e. none of the above

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Q: A vector y in Rn can also be viewed as an n × 1matrix Y = (y). Show that ||Y||2 = ||y||2

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Q: Use calculus to find the area A of the triangle with the given vertices. (0, 0), (3, 2), (1,6) A =

A: Given, The vertices of the triangle are (0, 0), (3, 2), (1,6)Equation of the line joining (0,0) and…

Q: Use Green's Theorem to evaluate (sin r + y) dr + (cos y +a?) dy, where C is the square con- sisting…

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Q: (d) Compute curl F.

A:

Q: Given: YX - XZ, WX bisects ZYXZ prove: AWYX = AWZX

A: Given: Prove:

Q: 3] By using the properties of dot and cross product, prove the following: a) (w x i). i = 0.

A: 1. In cross product : resultant is perpendicular to both vector whose cross product is taken 2. Dot…

Q: What does dm(u, v) measure?

A: It measures the max norm.

Q: Find the angle in radians between the planes 2x+z=1 and 4y+z=1

A:

Q: Find the distance d(u, v) between u and v in the given Fig.

A: To Determine:  Find the distance d(u, v) between u and v . Given: we have u=-12,v=31 Explanation: we…

Q: snip

A: the given statement is False the correct statement is :u × v=u v sin∅ where ∅ is the angle between u…

Q: Find the length of the cardioid r = 1 - cos θ.

A: Arc length in polar coordinate is given by:

Q: The common area between the cardioid r = 1+ cose and the circle r = 3cose is: Select one: (1+ cose)?…

A: For cardioid  θ=0,   r=1+1=2 θ=π2,    r=1+0=1

Q: 10. Use Green's theorem to evaluate fcF·dr where F(z, y) = C is the triangle from (0,0) to (2,0) to…

A: Using Green's Theorem to evaluate ∮CF.drwhere F(x,y)=y2cosx,x2+2ysinxwhere C is the triangle from…

Q: Find the areas of the regions . 1. Inside the oval limaçon r = 4 + 2 cos u 2. Inside the cardioid r…

A: Replace the variable u with θ The area inside the oval limaçon is given as, Where, a=0 and b=2π…

Q: Given ā(t) = (1, e¬t) and V(0) = (2,1) and F(0) = (1,–1) find the position elocity vectors. %3D %3D

A: Given a⇀t=1,et, v⇀0=2,1 and r⇀0=1,-1. To find the position and velocity vectors. Solution: We know…

Q: Find u · v, where 0 is the angle between u and v. ||u|| = 4, ||v|| = 14, 0 = - 3

A: This problem can be solved by directly putting given values in the formula for the dot (or scalar)…

Q: Find the length of the cardioid r= 4 – 4 cos 0. The length of the cardioid is

A:

Q: Find an expression for a unit vector normal, no, to the surface x = (4 – cos (v)) cos (u), y = (4 –…

A: The complete solutions are given below

Q: Find SW. W 30 14 V. SW : %3D Submit T 7U

A: Given dimensions are, VU=14UT=7VW=30

Q: find the area of triangle between V and W YA (1, 1, 1) V W

A:

Q: find the distance d(u, v) between u and v in the given exercise.

A: We need to find the distance between the two vectors.

Q: uppose that L is parallel to D. The distance between L and D is V90.

A: b=59 a=114

Q: W V U UT bisects ZWUV, WU = 9, UV = 12, WV = 9 Given: Find: WT

A: Given : UT→ bisects ∠WUV, WU=9, UV=12, WV=9 we have to find ,  WT=?

Q: c VI by differentiating

A: since you have asked multiple questions in single request so we will be answering only first…

Q: Evaluate |(z - z+ 2) dz from i to 1 along the contour C given in Figure.

A: The general form of a complex number is given by z=x+iy, where x,y are two real numbers and i=-1.…

Q: )ca) if vector as 6=2ナリーk Calculate axb and bxa. (b) Find The area of the paralletogrmais bounded by…

A: Area of parallelogram of the vectors a and b is a×b.

Q: 10. Find the area of parallelogram that has u and v as adjacent sides. u=i-j+2k,v=3j+k

A: We use the formula ,the area of the parallelogram is =|u×v|

Q: |A" |= |B |,implies that A=B" %3D ylgn ihi

A: Use the property of vector and their modulus.

Q: 20. A uniform wire is bent into the form of a triangle with sides a, b, Prove that the distances of…

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Q: (b) Find the entire length of the cardioid r = a(1+cos0).

A:

Q: Find the vectors T, N, and B at the given point. r(t) = (6 cos(t), 6sin(t), 6 In(cos(t))), (6, 0, 0)…

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Q: Let v=i+6j and w=i+3j. Find an exact number c so that w−cv is perpendicular to v.

A: The given vectors are    v = i + 6j w =  i + 3j

Q: the projection Vo of V to etermine the engle a between u end v

A:

Q: For vectors a and b in R² prove Lagrange's identity: ||a x b||? = ||a||2||b||? – (a · b)? ах

A: Use the vector product and scaler product identity, a×b=absinθn^…

Q: 7. For vectors a and b in R? prove Lagrange's identity: ||a x b|? = ||a|| ||b||? – (a · b)?

A: for vectors a and b in ℝ2 prove -lagrange's identity a×b2=a2b2-a·b2

Q: Use one of the formulas in the equation A = f. x dy = £. -ydx = } Þc x dy – y dx to calculate the…

A:

Q: Find the area of the paralielogram PQRS if V(PQ) = 3i– 2j and V(PS) = 3j + 4k.

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Q: R 2 S V 2715° 4.

A: Please rate

Q: Find the length of the cardioid r = 1 + sinθ

A:

Q: Find the area shared by the circle r,= 10 and the cardioid r, = 10(1- cos 0). %3D

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Q: If C is the line segment from (8, 4) to, (0, 0), find the value of the line integral: (6y? i + 5x})…

A: To solve the line integral from (8,4) to (0,0)

Q: Find the raclius af cunvature af the cuTYes : 1- Y: 2ti + CIA)j -2tk ot (2,1,-2). Y ti +ti +tk at…

A: Here we have to find the radius of the curvature of the curve,  1) r=2t i+1t j-2t k at 2,1,-2 2)…

Q: Let W = Span{u} where u -2. Let y = find the distance from y to W 13.

A: In this question, we need to find the distance from the vector y  to the subspace w spanned by u.

Q: Consider the non-right triangle below. у ст ZCAB T cm Suppose that m/CAB = of this triangle? 61°,…

A: Given,

Q: Find the areas of the regions Inside the six-leaved rose r2 = 2 sin 3θ

A:

Q: Evaluate z dz, where the contour C goes from z = 0 to z = 1 to z = 1+i.

A:

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.