Check that the four points ?(2,4,4), ?(3,1,6), ?(2,8,0), and ?(5,2,3) all lie in a plane. Then use vectors to find the area of the quadrilateral they define. (Use symbolic notation and fractions where needed. Enter DNE if the points do not lie in a plane. )

Q: Consider the triangle with vertices A(2,3,5), B(-1, 4,4) and C(-2, -1,6). Use vector multiplication…

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Q: B

A: For two vectors A and B, A-B is nothing but adding Aand -B i.e. C=A-B is the resultant of Aand -B.

Q: Consider the array of vectors in the figure below. +y G H. R K A L 1. A + B + C + D + Q + H + Í + J…

A: # We are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: Let ? . Find the vector =42-Sg? and and its additve inverse

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Q: OLet U=(2,-37, V=Fl,5), W=(4,-62 Find U•V

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Q: 13. Determine the dot product of the two vectors shown in the diagram. 4 -3 -2 4- 3- 1 ++ I 2 3 4…

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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: Look at attached image, thank you

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Q: 3. Write ū as a sum of vectors, one in the direction of and another orthoganal to a. 18 [4] -5 [3³]

A: The given vector .The objective is to write the vector as a sum of vectors one in the direction of…

Q: Calculate the cosine of the angll ebetween uyV the heading and whether they were between…

A: Let's find.

Q: 19. Given the following vectors: A = 2i-3j+ 6k, B = 8i +2j - 3k and C = i-4j + k. Find * (A+B).C a.…

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Q: Prob. 2. ū and i are two vectors. If |피 = 4, [히 =3 and 2(ü, ü) = 2π/3. Find: a) ü.ㅎ b) ū.u c) |3ü +…

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Q: 23. Find the angle between the vectors i = [-9,1, 3] and i = [0,2, – 5]. %3D

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Q: 2. Which of the following is not a unit vector? A. (0-2) 0. √5 √5 B. (cos 1, sin 1, 0) C. (1, 1, 1)

A: A vector v whose magnitude is 1 is called a unit vector. A vector v whose magnitude is any positive…

Q: -5 -71 -2 -4 -8 -3 -9 [-1 [3 -2] t A = v = |1 w = -1 and x = 1 -3 5 1 4 v in N(A)? Type "yes" or…

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Q: Q1: The following vectors; Ā =, B = 1- Find the cross product 2- Find the angle between à and B. 3-…

A: Consider the vector, A→=1,4,-1,        B→=2,-4,6 To calculate the cross product of vector,…

Q: 6. Let A= (1, 2, 0), B = (3, 4, -1), and C= (4, 5, 2). Find the exact value of the distance between…

A: Given- A=(1,2,0) , B=(3,4,-1), C=(4,5,2) To find the exact value of distance between point C and the…

Q: TRIANGLES AND VECTORS Dot product of vectors given in component form Find (7, 9)-(-1, -8). 品 ロ后仁可…

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Q: 6. = width a = b = long c = tall X a N b C Y a. Calculate the area vector for each face of this…

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Q: For what values of a are the vectors (4, -2, a) and (9, a², a) orthogonal? O -6 and 6 0 O -2√3 and…

A: Equate dot product of two vectors to zero

Q: spherical: (3, * , ) Change to rectangular.

A: Given,Spherical coordinates: 3,3π4,π3

Q: O let A = i+2j-K, B=-i+j+K, Esi+k, 5z i+2j-K which vectors are: @ perpen dicular Parallel

A: Our are objectives to check which vectors are parallel and which vectors are perpendicular

Q: Let V = [- 4, 1, 0], V2 = [ – 4, 3, 5] and V = [ – 8, 4, 5]. Find coefficients c1 and c2 such that V…

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Q: Find the cross product ủ × ở where ủ =2i -7j -8k and 7 = (−9, −3, 9). u x v=

A: The given vectors u→=2i-7j-8k and v→=-9, -3, 9. We have to find the cross product u→×v→.

Q: How do I find the dot product of v=-sqrt3i-j, w=-i-j

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