OAED is a quadrilateral. A 2a C B 2b O ? DE = 7a + 3b E ? ? OA = 2a OB = 2b AB: BD=1:2 The point C on AB is such that OCE is a straight line. Use a vector method to find the ratio of OC: CE 7a + 3b D Diagram NOT accurately drawn

Q: 11. Let u a. =(4,-4√3) and v = (-3,6). Find -2u + 5v b. Find the magnitude and direction of u. c.…

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Q: What is the direction of the vector with an initial point of (3,-5) and a terminal point of (8, 6)?…

A: The initial point is (3, -5) and the terminal point is (8, 6)

Q: 2. A vector # = (a,b,c) has a direction angle of 45° with the positive x-axis and a direction angle…

A: Here a vector r→=a,b,c has a direction angle of 45 with the positive x-axis and a direction of 130…

Q: Let s= (-3,3), and t= (2, - 6). Perform the operations indicated. Write the vector answers in the…

A: Topic:-  vector algebra

Q: Which vectors are the same? y 上平十 y y A B y y D E х

A: We solve only one problem at a time so please submit them one by one for a quick and thorough…

Q: 1. Let ā=ī-2j+k, b = i +4j-5k, c = 5i + j - 2k & d = -2ī-j+k. Answer each of the following: Sketch…

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Q: Answer f. Are any of these vectors perpendicular? If so, state which pair are perpendicular and…

A: Consider the first pair u and v. Find the scalar dot product. The dot product for u and v is not 0…

Q: If a point A, the position vector ai + bj lies on the line L, vector equations r = 2i +5j +c(i-i),…

A: To find the value of (a), we need to ensure that the position vector of point A, (ai + bj), lies on…

Q: 2. Given a vector v with initial point P₁ = (2,-5) and terminal point P₂ = (-4, 3), write the vector…

A: Disclaimer:  Since you have asked multiple questions, we will solve the first question for you. If…

Q: Solve the problem. Find the area of the triangle determined by the points P(-3, 6, -4), Q( 2, 10,…

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Q: 1. Find the unit vector in the same direction of V=. Graph the corresponding vector in a rectangular…

A: Introduction: Unit Vector: A vector is a quantity that has both magnitude, as well as direction. A…

Q: 1. Vector A is the same as: (Circle ALL that apply) A a. B+C b. D-B B C. D+C D d. (D-C)

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Q: Given vector (-2,6) and a point (3,2) a. Write a vector equation  b. Write the vector equation as…

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Q: 1. The quadrilateral ABCD is shown to the right. Suppose u = DC and = AD. Further suppose that BC=…

A: We have given a quadrilateral ABCD and also given thatWe have to write the vectors  as a linear…

Q: A. Three-Vector Set: . V, 10.0 m at 90- • V.-15.0 m at 30° South West .V.-15.0 m at 0 Draw these…

A: Consider the given three vector set, V3=10.0 m at 90°V4=15.0 m at 30° SouthWestV5=15.0 m at 0° draw…

Q: 2. Below are 4 vectors in component form. Graph these vectors in standard position and then find…

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Q: Let L be the line 8x + 2 in R?. Find vectors a and b so that v a + tb with t ER is also a correct…

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Q: perpendicular to (x, y, z) = (1, -2,0) + r(1, -1, 1) through P(1, 3,5) [parametric equations]

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Q: A point A(-5,-3) is translated by the vector v = , and then reflected about the line y=0. the…

A: Given that: A(-5, -3) is translated by v=<8, 0>

Q: 2. Find the directions cosines of AB. a. Ā = (-1,2,3) and B = (4, –3, 1) %3D

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Q: Write v as the sum of two vector components if v = -5i + 6j and w = 3i+ 4j

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Q: Use the dot product to determine whether v and w are orthogonal. v=3i+ 3j, w = -İ+j Select the…

A: two vectorsu→=u1i+u2j  and v→=v1i+v2j are said to be orthogonal if u1 v1 +u2 v2=0

Q: find an equationfor the line through P parallel to v. Then sketch the line. Include v inyour sketch…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Consider the line passing through the points (2, -3,4) and (5,10, -12). Describe the line by a.…

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Q: Let u = (2,5) and v = (3,-2). Sketch u and v in standard position. Find and draw the resultant…

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Q: The three vertices of a triangle are at A (7,-1,3), B (-3,3,-4) and C(-3,1, 5). Find: (use Dot…

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Q: Consider the points A(-4,2,0), B(7, 3, -2) and C(-2, -3, 1). 1. Find a vector of length √6 in the…

A: Solution is given below: