A B Diagran асcurat b – 2a C Figure 2 Figure 2 shows a quadrilateral OABC OA = a, OB = b and BC = b – 2a (a) (i) Prove that AB is parallel to OĆ (ii) Show that AB:0C = 1:2 The point D lies on OB such that OD:DB = 2:3 (b) Find the ratio of the area of A ODC:the area of A OAB.

Q: Consider the cylinder in R. a. Identify the coordinate axis to which the cylinder is parallel. b.…

A: B. ) The cylinder is parallel to Y -AXIS

Q: Let f (z) = 3z, O = ) A = 10and B = 10 +10i. Let C¡ be the contour composed of the line segments O…

A: Note:-if  z=x+iy  then  z =x-iy Given that   fz=3 z  fz=3 z =3x-iyfx+iy=3x-iy Also, given that

Q: Consider the parallelepiped with adjacent edges u = 7i + 7j + k v = i+j+ 3k w = i+ 7j + 5k Find the…

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Q: Find the angle 0 E [0, between the planes 2x - y+z= 1 and x + z = -3. Lütfen birini seçin:…

A: Given that the two planes: P1:2x-y+z=1P2:x+z=-3Normal   are,Let,      n^1:    2i-j+k=1n^2:   i+k=-3

Q: Consider the parallelepiped with adjacent edges u = 8i + 6j + k v = i+j+ 2k w = i+ 6j + 3k Find the…

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Q: 1. Consider the parallelepiped with adjacent edges u = 6i + 4j + 2k; v= 2i + 2j + 4k; w = 2i + 6k +…

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Q: Consider the parallelepiped with adjacent edges u = 9i + 8j + k v = i+j+ 9k w = i+ 6j + 5k Find the…

A:

Q: Consider the parallelepiped with adjacent edges u = 4i + 6j + k v = i+j+ 4k w = i+ 9j + 8k Find the…

A:

Q: Consider the parallelepiped with adjacent edges u = 5i + 9j + k v = i+j+3k w = i+ 5j + 7k Find the…

A: volume of the parallelepiped is given by  u→·v→×w→

Q: In isosceles trapezoid WXYZ with bases ZY and WX, ZY = 8, YX = 10, and WX = 20. Find height h (the…

A: Given  The  WXYZ  is isosceles trapezoid  with bases ZY and WX .  Here ZY =8  , YX =10  and WX =20

Q: Consider AABC with its centroid at point E and median at AD. What is the length of AE if AD=30? 10…

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Q: 日-1- Find the volume of the parallelepiped determined by w = |0,v = 1, and u =|1

A: The Volume of parallelepiped formed between three vectors A→,B→ and  C→ is given by the scalar…

Q: Consider the parallelepiped with adjacent edges u = 4i + 6j + k v = i+j+ 9k w = i+ 3j + 7k Find the…

A:

Q: Consider the parallelepiped with adjacent edges u = 5i + 7j + k v = i+j+7k w = i+ 8j + 7k Find the…

A: Volume of the parallelepiped is 238 cubic units.

Q: Consider the parallelepiped with adjacent edges u = 3i + 4j + k v = i+j+ 4k w = i+ 9j + 6k Find the…

A:

Q: Consider the parallelepiped with adjacent edges u = 7i + 3j + k v = i+j+3k w = i+ 8j + 6k Find the…

A: As per given question  We are going determine the volume

Q: Consider the parallelepiped with adjacent edges u = 3i + 2j + k v = i + j + 2k w = i + 3j + 3k (a)…

A: Let us consider the parallelepiped with adjacent edgesu = 3i + 2j + kv = i + j + 2kw = i + 3j + 3k…

Q: Consider the parallelepiped with adjacent edges u = 9i + 6j + k v = i+j+7k w = i+ 6j + 6k Find the…

A: The given equations are,  u=9i+6j+k v=i+j+7k w=i+6j+6k.

Q: 1. Find the area of the portion of the plane Зх — Зу + 2 — 12 that lies inside the cylinder y? + 22…

A:

Q: Consider the parallelepiped with adjacent edges u = 5i + 9j + k v = i+j+ 3k w = i+ 5j + 7k Find the…

A: Given three edges of a parallelpiped are u=5i+9j+k, v=i+j+3k and w=i+5j+7k. The objective is to find…

Q: Consider the parallelepiped with adjacent edges u = 9i + 5j + k v = i+j+ 8k w = i+ 2j + 8k Find the…

A:

Q: Figure I below shows a uniform lanmina in the form of right angled triangle OAB with right angle at…

A: 5(ii) Solution: In part (i) centroid of sector OPQ has been calculated as  Ox= 4a3π and Oy= 4a3π…

Q: The contour of integral zdz of the cirle z-il 2is .A 8 Ti .B .C -8 Ti

A: If you like the solution then please give it thumbs up..   The Answer is:     I = 8πi    Option (A)…

Q: Consider the parallelepiped with adjacent edges u = 2i + 4j + k v = i + j+ 6k w = i + 2j + 5k Find…

A:

Q: Consider the parallelepiped with adjacent edges u = 5i + 8j + k v = i+j+ 9k w = i+ 3j + 5k Find the…

A:

Q: B 130 27 cm Find the area of the sector formed by Z(ABC) cm2

A: Find the sector area

Q: The lateral area of a right circular cone of radius 4 cm is 100.53 sq. cm. Determine the slant…

A: Recall that the lateral area of a right circular cone having radius r andslant height is πrL.

Q: Let D be the triangular region in the ry-plane with vertices (0,0), (, 0), and (1, 1). Let M be the…

A: Consider the given triangular region D in the xy-plane. The vertices are 0,0,1,0,1,1. Now, draw the…

Q: 1. Consider the parallelepiped with adjacent edges u = 6i + 4j + 2k; v= 2i + 2j + 4k; w = 2i + 6k +…

A: To answer the given questions using the given details.

Q: Consider the parallelepiped with adjacent edges u = 6i + 5j + k v = i+j+ 6k w =i+ 3j+ 6k Find the…

A: Given the adjacent edges of the parallelopiped are u = 6i + 5j + k v = i + j + 6k w = i + 3j + 6k

Q: Consider the parallelepiped with adjacent edges u = 4i + 5j + k v = i+j+9k w = i+ 2j + 6k Find the…

A:

Q: Consider the parallelepiped with adjacent edges u = 8i + 2j + k v = i+j+ 2k w = i+ 3j + 4k Find the…

A:

Q: Diagram shows a quadratit OCD and o sector D BA with the Common centre, 0. OCB is a straight line.…

A: Given diagram is                                                                OA=OB=14 cmOC=12OB=7…

Q: In isosceles trapezoid WXYZ with bases ZY and WX, ZY = 4, YX = 10, and WX = 20. Y. D. Find height h…

A: Consider the given figure, First find value of EX. Lets assume EX=x As it is isosceles trapezoid, so…

Q: 5 ft 14 ft 12 ft p= 12 + 14 + 12 + 14 = 52 L.A. = ph = 52 5 = 260 %3D %3D %3D B = bh = (5)(12) = 30…

A:

Q: Consider the parallelepiped with adjacent edges u = 4i + 6j + k v = i +j+ 9k w = i + 7j + 6k Find…

A: Given; u=4i+6j+k , v=i+j+9k , w=i+7j+6k Volume (V)=?

Q: Consider the parallelepiped with adjacent edges u = 4i + 3j + k v = i+j+ 4k w = i+ 9j + 2k Find the…

A:

Q: Two sphere of radii r1 and r2 cut Orthogonally prove that the radius of common circle is (r1r2)…

A:

Q: H.W: Find volume of box (parallelepiped) determined by u = i+ j- 2k , v = -i -k and w 2i + 4j - 2k…

A:

Q: Consider the parallelepiped with adjacent edges u = 3i + 8j + k v = i+j+ 3k w = i+ 9j + 4k Find the…

A: u=3i+8j+kv=i+j+3kw=i+9j+4kVolume = (u×v).wu×v=ijk381113u×v= i(8(3)-1)-j(3(3)-1)+k(3-8)u×v=23i-8j-5k

Q: (b) Find the volume and the surface area of the truncated cone made by the rotation of the solid…

A: Formula of cone: Volume of the cone, V=πr3h3 Surface area, A=πrs+πr2 where, r= radius of the base h=…

Q: a. Find the value(s) of p if the volume of a parallelepiped spanned by pi – 33j – 5k, 17k + 4i – j…

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Q: Consider the parallelepiped with adjacent edges u = 9i + 7j + k v = i +j+ 6k w = i+ 9j + 4k Find the…

A: We can find the volume as below

Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u = 3i…

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Q: B is the first quadrant part of the region enclosed by the circles x2 + y? = a? and x2 + y? = b2…

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Q: Consider the plane 2x + 5y + z = 10. find the surface area of the plane in the first quadrant. Exact…

A: To find the surface area of the plane 2x+5y+z=10 in the first quadrant

Q: 1. Determine the value of a so that A= 2i +aj +k and B= 4i-2j-2k are perpendicular a. 1 unit b. 2…

A: 1. Determine the value of a so that A= 2i +aj +k and B= 4i-2j-2k are perpendicular. We have, A= 2i…

Q: Consider the parallelepiped with adjacent edges u = 4i + 7j + k v = i+j+ 6k w = i+ 4j + 9k Find the…

A: The adjacent edges of the parallelepipedu=4i+7j+kv=i+j+6kw=i+4j+9k

Q: Consider the parallelepiped with adjacent edges u = 8i + 5j + k v = i+j+3k w = i + 8j + 4k Find the…

A: Topic = Vectors

Q: 1) A) Find the area of the portion of the sphere x? + y + =9 lying inside the cylinder x2 + y? = 3y.

A: