2. Which polygon is the translation of polygon 1 by: (a) vector AB? (b) vector BC? 2 В 3 4 A C

Q: If the volume of the parallelepiped determined by the vectors A = i +ak, B = 8i-5j + ak and C = 2i…

A: Given vectors are A = i + αkB = 8i - 5j + αkC = 2i + 3j - 8k

Q: a) Find the vector that is parallel to the tanget to the circle x2 +y? = 100 at the point (3,4).

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Q: The parallelogram determined by vectors a and b has area 2sqrt3. If the vector c=a+b makes an angle…

A: Given information: The parallelogram determined by vectors a and b has area  23 Vector c=a+b make an…

Q: In triangle ABC a line is drawn from A to the midpoint of BC, labelled D. Prove that vectors…

A: The solution is given by using triangle law of vectors as follows

Q: Suppose that u,v are two vectors such that Ju| = 3 and |v| = 4. Let 0 represent the angle between u…

A:

Q: Find the perimeter of a square with a diagonal 102. a) O 10/2 b) O 10 c) O 20 d) O 40/2 e) O 40…

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Q: If A : li + 4j – 8k, B = -6i + 5j + 6k, C 9, and C is perpendicular to both A and B, write the C in…

A: Given, A→=i^+4j^-8k^B→=-6i^+5j^+6k^ Let, the required C→ vector be, C→=c1i^+c2j^+c3k^.......(1)

Q: Suppose U and W are vectors in R" then ||U +W|| = ||U|| + ||W|| if the angle between U&W is equal…

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Q: (b) Find the angle between the vectors u and v if u = (2,3,5) and v = (1, -4,3) in %3D R3.

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Q: Consider the following rectangular box. F a) Give a pair of equal vectors. b) Give a pair of…

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Q: 9) Write a two column proof. Given: ABCD is a rhombus.

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Q: If the volume of the parallelepiped determined by the vectors ä, 5, č e R³ is A cubic units, which…

A: Consider the provided question, a→∧3b→∧b→∧c→Let a→∧3b→=u→a→∧3b→∧b→∧c→=u→∧b→∧c→…

Q: 8. Determine the angle between the two vectors. a) Ã = and B = b) Ả = -2î + 3 + 5k and B = î + 2j…

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Q: Use the polygon law of addition to draw the resultant vector ( å + b) + ở for the following yectors.

A: The given vectors are added

Q: Determine the value(s) of k such that the area of the parallelogram formed by the vectors a = (k +…

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Q: Q. 6: Suppose the sides of polygon represent vector arranged head to tail. Calculate the sum of…

A: Given: the sides of polygon represent vectors arranged from head to tail. To calculate: the sum of…

Q: If the volume of the parallelepiped determined by the vectors A = i + ak, B = 8i - 5j + ak and C =…

A:

Q: 2. Which polygon is the translation of polygon 1 by: (a) vector AB? (b) vector BC? EN B 3 4 nob C…

A: Given:

Q: ABC is a triangle and P, Q are the midpoints of AB, AC respectively. If AB = 2x and AC = 2y, express…

A: Given P,Q are the mid-points of 2 sides AB,AC of the triangle ABC. Also, AB=2x, AC=2y.

Q: What is the angle between the vectors and О т/4 Ο π/3 Ο π/6 O T/2 О Зл/4 27/3

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Q: Given W RST is a parallelogram and W S RT how can you classify W RST ? Explain. O A. Square; WS and…

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Q: Name three points that determine plane M.

A: Given, two planes M and N that intersect on line passes through A and B in image we can see three…

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: Let C and D be points with position vectors c and d respectively. If |c| = 5, \d| = 7 and c·d = 4,…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: What is the area of the parallelogram formed by vectors A = 3ax -ay +2az and B = ax -2ay + 2az

A: What is the area of the parallelogram formed by vectors A = 3ax -ay +2az and B = ax -2ay + 2az

Q: Suppose u = (0, –2) and v = (2, 2) are two vectors that form the sides of a parallelogram. Then the…

A: This question is based on parallelogram diagonal.

Q: Find the angle in degrees between u = (1, 2, 0) and v = (1, -2, 1)

A: Given, u=1,2,0v=1,-2,1 The formula for finding the angle between the two vector is, cosθ=u→·v→u→v→

Q: The area of the parallelogram whose adjacent sides are the vectors u and v is a) Ju · v| c) Ju x v|…

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Q: What is the area of the parallelogram formed by vectors A = 3ax -ay +2az and B = ax -2ay + 2az * O…

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Q: Find the four angles of a cyclic quadrilateral ABCD in which ZA = (2x – 1)" ZB=(y+5)° ZC = (2y +15)…

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Q: (1) Let 0 be the angle between vectors A and B, find the value of the angle 0 when |-5V3A x B = 5Ã.B

A: To find the angle θ between vectors A and B. It is given that,

Q: what is u.v when u and v are two unit vectors with an angle of (pi/6) between them. if u=i and if v…

A: Given: u=i, angleθ between u and v=π6 let's assume v=xi+yjx2+y2 we know that angle between two given…

Q: - Find the lengths of triangle ABC using vectors, knowing that: A (3,1), B (6,4), C (-1,3)

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

Q: Given two vectors a = (−2, 1, 3) and b = (3, −1, 2), does c = (−18, 7, 1) lie on the plane…

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Q: Suppose that u and V are vectors of lengths 2 and 3, respectively. If the angle between u and V is…

A: Dot product of two vectors u and v is given by

Q: If the volume of the parallelepiped determined by the vectors d, b, čeR' is a cubic units, which of…

A: Given, 2a→∧b→∧b→∧c→ Let, 2a→∧b→=u→ Now simplifying the given equation by apply the vector dot…

Q: 2. The area of the triangle whose adjacent sides are the vectors u and v is a) Ju · v| c) |u x v|…

A: It is known that, the area of the triangle whose adjacent sides are the vectors A and B is 12A×B.

Q: Find the four angles of a cyclic quadrilateral ABCD in which ZA = (2x – 1)" ZB = (y+5)" ZC =(2y…

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Q: 5. What is the angle between the planes 4x - 5z = 11 and 5x + 4z = 13? %3D

A: see 2nd step

Q: For the glare Find # Ptrtmetril turoush fusses vectors Caprescatatih te pont ,4,3) 2 contahs

A: Given: Point (1,4,3)Vectors:a=3,1,-1b=0,3,5

Q: Which vector is not collinear with [c, d]? O [2c, 2d] O(-c, -d] O [10c, 10d] O [d, c]

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Q: For what value(s) of k are the vectors ü (2k, 5, k) and v = (3, -8, k) perpendicular

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Q: If c = 14, is the vector 2i + 5j in the span of ci – 12j and 7i - 6j? If c # 14, is the vector 2i +…

A: Answer

Q: : There are two vectors (V, and V2). Vi has length equals to twice the length of V2. If the angle…

A: given there are two vectors, V1 & V2. V1 has length equals to twice the length of V2. Angle…

Q: 5. What is the angle between the planes 4x – 5z = 11 and 8x – 10z = 13? (0) (a) 0 (b) 프 (d) π

A: Given: To explain the correct option is given as,

Q: Show that the indicated diagonal ofthe parallelogram determined by vectors u and v bisects the…

A: The given parallelogram is   Here, we are given |u|=|v| So, u+v is the required diagonal

Q: 4 3 Which weights should be used for b = a, vị + a2 V2 to obtain the vector b = ? 2 a1 = Ex: 42 az =

A: Solve the following

Q: 3- Given a vector A (r 17.5, 0= 90°, o = 55") and vector B (r=17.5, 0= 40°, q = 55") the distance…

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Q: If v and w are two nonzero vectors and θ is the smallest nonnegative angle between them, then v . w…

A: Given: If v and w are two nonzero vectors and θ is the smallest nonnegative angle between them, then…

Q: The vertices of quadrilateral ABCD are given as A(0, 3, 5). B(3, – 1, 17), C(7, –3, 15), and D(4, 1,…

A: