Use vectors to decide whether the triangle with vertices P (1, −3, −2), Q(2, 0, −4), and R(6, −2, −5) is right-angled

Q: Q1-)B-)Show that the following triangle whose vertices A(1, -1, 0), B(4, -3, 1) and C(2, -4,5) is a…

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Q: For the pair of vectors, find U + V, UV, and 3U - 4V. U = (-7, 0), V = (0,5) U + V = U-V= 3U - 4V =

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Q: For the pair of vectors, find U + V, U-V, and 3U - 4V U = (4,1) V =(-6,3

A: Given that  U = (4,1) V =(-6,3) To find U + V, U-V, and 3U - 4V

Q: Find the sum of the given vectors. а - (4, 0, 1), ь - (0, 5, 0) a + b Illustrate geometrically. a +b…

A: Given  The vectors  are  a =(4 ,0 ,1)  and  b= ( 0 , 5 , 0)

Q: Find all values of h such that the vectors  {a1, a2}  span  R2,  where a1 =   −5   h,    a2 =…

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Q: photo attached

A: Given informationU=(4, 1),  V = (-7, 3)That is U= 4i+1j      V = -7i+3j

Q: Consider the triangle with vertices P(-1, -4, -3), Q(0, –1, –5), and R(4, –3, –-6). Determine the…

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Q: Consider the triangle with vertices P(3, -4, 0), Q(4, -1, -2), and R(8, -3, -3). Determine the…

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Q: Let ā = 2 and b a) Find the area of the parallelogram formed by the two vectors.

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Q: Pls help

A: Two vectors are equal iff has same direction and magnitude

Q: For the pair of vectors, find U + V, U − V, and 3U − 4V. U = (3,3) V =(3,-3) U + V  =        U − V…

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Q: For the pair of vectors, find U + V, U − V, and 2U − 3V U = 9, 5, V = 9, −5 U+V= U-V= 2U-3V=

A: We know that for two vectors a→=a1,a2 and b→=b1,b2, a→+b→=a1+b1,a2+b2         ⋯⋯1a→-b→=a1-b1,a2-b2…

Q: The points A, B, C and D form a parallelogram. The points A, B and C have position vectors 2i –…

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Q: For the given vectors a and b, find the cross product a x b. (2, 0, -3), b = (2, 1, 0) a x b = %3D

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Q: Determine whether the given vectors are perpendicular. = (0, –7), 3 (8, 0) y = O Yes O No

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Q: ectors to decide whether the triangle with vertices P(1,-3,-2), Q(2,0,-4), R(6,-2,-5), and is…

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Q: Given the points A: (-4,6,2) and B: (-1,5,-3), find the vector ū AB

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Q: Use vectors to decide whether the triangle with vertices P(3, -1, -4), Q(4, 2, -6), and R(8, 0, -7)…

A: Given : Vertices of a triangle P(3, -1, -4), Q(4, 2, -6), R(8, 0, -7)   To find : The given…

Q: Determine the dot products of the following pairs of vectors. (a) (2, 4), (3, -4) (b) (3, –2, 5),…

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Q: b) How do you tell if two vectors are perpendicular?

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Q: Given vectors a = and b = , find 3a - 2b.

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Q: Use the graph below to write vectors a, b, c, and d as a linear combination of u and v 2v W 2v y n-

A: The given diagram shows the shear transformation of the cartesian plane. You can consider the blue…

Q: For two vectors a and b, V

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Q: Use the diagonals to determine whether the parallelogram with the given vertices is a rectangle,…

A: Given: P(-5, 2)Q(4, 5)R(6, -1)S(-3, -4)

Q: Find 2u, -3v, u+v, and 3u-4v for the given vectors u and v simple

A: Given vectors are u=<3,2>and <9,1> Now, we will find the given value.…

Q: For what values of b are the given vectors orthogonal? (Enter your answers as a comma-separated list…

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

Q: The angle that vector A=2ax+3a,+4az makes with x-axis is 68.19 56.14 76.82 42.03

A: We have to find the angle between vector A and X axis.

Q: (a) For the vectors d = (2, p, 8) and b = (q, 4, 12), determine values of p and q so that the…

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Q: What is the dot product of two perpendicular vectors? [A] 1 [B] 0 [C] -1 [D] 1/2

A: If two vectors are perpendicular then their dot product is zero. That is dot product of two…

Q: Given vectors a, b, c, such that a = 5c + 3d and b = 2c -d, 2a -3b in terms of c and d. express

A: Given vectors, a= 5c+3d b= 2c-d

Q: Consider the vectors V1, V2, V3, and b. V1 4 V2 = 5, V3 6 ,b = 7

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Q: For what values of b are the given vectors orthogonal? (Enter your answers as a comma-separated…

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Q: Let Ā = -(1+ m)î + 7j – 5k , B = xî + (6 + n)j – 2k and Ĉ = (8+ m)î – 2k , find the following: If…

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

Q: Find x such that the points A(x, 5), B(2, 3), and C(4, - 5) are collinear.

A: Given. A(x,5), B(2,3) and C(4,-5) are collinear.

Q: Set C 1. Use vectors to find the (shortest) distance between the point (-2, 1, 4) and the line…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Let ​A(66​,33​), ​B(99​,44​), and ​C(55​,66​) be three points in a coordinate plane. Find the…

A: Let D=(x,y). a) IF AB is a diagonal, then CD is another diagonal. We know that diagonals of a…

Q: Q3. Find the cross product of the vectors and .

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Q: The area of the parallelogram with vectors R(1,2,-1), P2(4,2,-3), P3(6,-5,2).P4(9,-5,0) is a) 998 b)…

A: Consider the given vectors P11,2,-1,P24,2,-3,P36,-5,2, and P49,-5,0. Use the given vectors and draw…

Q: For the pair of vectors, find U + V, U − V, and 2U − 3V. U = −9, 0, V = 0, 5

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Q: For the pair of vectors, find U + V, U − V, and 2U − 3V. U = 2, 3 V =2, −3   U + V  =        U − V…

A: Here we have, U = <2,3>.     V = <2,-3> U+V = <2,3> + <2,-3>         =…

Q: Use vectors to find the measure of the angle at vertex B of triangle ABC, when A = (3,1), B = (-4,…

A: The coordinates of vertices of triangle ABC are A(3, 1), B(-4, 3), and C(-4, -2)

Q: -6 --5 Let z = and y . Find the vectors v = 47, ủ =i + ÿ, and w = 47 + y. w = || ||

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Q: For what values of b are the given vectors orthogonal? (Enter your answers as a comma-separated…

A: It is known that any two vectors are orthogonal if their dot product is zero. The given vectors are…

Q: Find the area of the parallelogram with the vertices A(3; 2), B(5; 4), C(4; 1). (Advice: Consider…

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Q: For the pair of vectors, find U + V, U – v, and 3U – 4V. U = (5, 2), V = (5, -2) %3D U + V = U - v =…

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Q: Find the vectors T, N, and B at the given point. r(t) ) =(2², ²32²³, t), (4,- 15, -2) N = B =

A: This question can be solved by applying the formula of T,N,B

Q: o -3 - 5 ↓ 2 buy on IN A 65 US

A: We have to find out the components of the addition of the two vectors, that is, w→+v→.

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.