18. Show by vector methods that the median (a median joins the vertex of a triangle to the midpoint of the opposite side) drawn to the base of an isosceles triangle is Perpendicular to the base. Hint: Take A as origin and show that AM•BC = 0.

Q: 1. Find DATE: NO. the rector y with base at A and base at B from the information given. Draw a…

A: Step 1: Step 2: Step 3: Step 4:

Q: The distance from (6, 8, 11) to the yz-plane is: A. 10 OB. 7 O C. 5 O D. 6

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Q: 1.) Find the area of the parallelogram with vectors as adjacent sides. и %3D (-2,9, —3) аnd v %3D…

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Q: A variable plane lx+my+nz = p (where l, m, n are direction cosines of normal) axes at points A, B…

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Q: Q7. What angle does the line of intersection of the plane O make with the nonnegative 2x + y - z = 0…

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Q: Please help

A: The objective of this question is to find the direction in which the airplane should fly. This can…

Q: Let POR have vertex coordinates P(-3,4), Q(4,–1),and R(5,6). a. Find the vector form of the segment…

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Q: 1.Use vector methods to show that the diagonals of a parallelogram bisect each other. 2.Let…

A: We have to prove That Diagonals of a parallelogram bisect each other.

Q: 1. Given the vectors Q = (3, - 2,-1) and R= (2,4,3), determine a) The projection of Q along R. b)…

A: Solution: The objective is to find the smallest angle of the given vectors

Q: 21. Given F₁ = 3î - 2ĵ+ 4k and F₂ = 5j + k, find: a. Dot product, F₁ F₂ = b. Dot product, F₂ · F₁ =…

A: As per our guidelines we are suppose to solve only first three subparts if the multiple parts are…

Q: 1. AB and CD are parallel and 15 centimeters apart, mZBAC = 58° and %3D is the reflection through AB…

A: Note:- As per our guidelines, we can answer the first three sub-parts of this problem. You can…

Q: Use the applet to translate quadrilateral ABCD 2 units left to create quadrilateral A'B'C'D', then…

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Q: Which of the following three dimensional figures, in the orientation given, can produce a triangle…

A: Since, we get a triangle when cut by a plane. Therefore, the 3-D figure is prism.

Q: Show that the lines L:a =4- t, y = 2t, z =1+t and L2:2 =1+ 21, y = 3 – 4t, z = 5 – 2t are parallel…

A: This is a problem of 3D analytical geometry and application of calculus, vector calculus.

Q: Calculate the requested distance. The distance from the point S(-4, 1, 8) to the plane 2x + 2y + z…

A: use distance between point and plane.

Q: Find the angle between the line given by ⟨x, y, z⟩ = ⟨2t, 3t, t⟩ and the y-axis exactly.

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Q: Hi, parts a) and b) of this question are attached.    Thanks so much!!!

A: The problem concerns the distance and angle functions in the complex plane (the set of all complex…

Q: 19. What is the radius vector of the point on the terminal side of an angle in standard position if…

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Q: Evaluate ry dr +r dy, where C is the positively oriented triangle enclosed by the lines y = I=0 and…

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Q: (c) Consider the parallelepiped with sides: u=(5,-2,1), v=(3, 2, 4), and w=(-6,1,1). V

A: Angle between two vector V and W found using cosine function

Q: In triangleRST, the medians are RM, SN, and TP. If RM = 9, SN = 12, and TP = 16, find the distance…

A: median of the triangle

Q: ans ) Find the lengthaf the Projection of the line jeining (-1,2,) ane -19 2) on the Plane…

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Q: find the compoment form of vector v given ||v|| = 13 and the angle with positive axis is theta=300…

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Q: 4. ABP is a triangle, M is a point on AP. AB = a, AM = 26, and MP = b. N is the midpoint of BP. C is…

A: Follow the steps.

Q: coordinates

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Q: c. Find the distance from Po = (3,9, 6) to the plane 3.x + 4y – 5 = 0.

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