31. Find the vectors whose lengths and directions are given. Try to do the calculations without writing. Length Direction a. 2 i b. Vз -k 3 c. d. 7

Q: What is the angle between the following two vectors (to the nearest degree)? u→= and v→= = 49°…

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Q: What is the vector equation of the line team C must follow if they wish to meet team A at right…

A: To find the vector equation of the line team C must follow if they wish to meet the team A at Right…

Q: What should the value of y be for the given vectors å = 3î + 2ĵ + 2k , b = î - ĵ +k and ĉ = 2î + 2yj…

A: Given that three vectors are in the same plane or we can say the vectors are coplanar. If three…

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

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Q: The angle between two unit vectors e and f is π/6 . What is the length of e × f?

A: The angle between two unit vectors e and f is π6.

Q: 5. D The angle between two vectors a and b is -, Given that /a/ = 3 and /b/ = 4. find (a) /2a + 3b/…

A: Vectors

Q: B. For vectors u = and v = Find 1. 4u – 2v 2. A vector of length 20 in opposite direction of 4u – 2v

A: For the vectors u = ( 2, 0, -3 ) and v = ( 0, 1, -2 ) we need to answer the following questions.

Q: 33. If 0 is the angle between two nonzero vectors v and w, and v· w < 0, what is the range of 0?…

A: Use the geometric definition of the dot product to calculate the angle between two non        zero…

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

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Q: In tho ciagram above, PQ and R are vectors. Which of the following options gives the correct…

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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: 02. Given the vectors : A = (3.-1, 2), B = (0, 1, 1) and C- (2, 2,-1), find: the angles between the…

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Q: 6. Find the magnitude of the resultant of two vectors u and v, given u=2, y =7 and the angle between…

A: We have to find the magnitude of the resultant of two vectors and v and the angle between the…

Q: 12. Find the vector with length 5 and direction angles a = B = 120°, y = 135°. = 60°,

A: 12. Given that a vector with length 5 and direction angles α=60o, β=120o, γ=1350.

Q: a/The angle between the two vectors A2 Bz 3 TT 2

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Q: 4. Given a = 5 m and b= 7 m, and the angle between the vectors ā and b is 102°, determine a +b,…

A: As we know that the expression for a→+b→ a→+b→=a→2+b→2+2a→b→cosθ Where; θ is the angle between…

Q: Which of the following vectors are parallel to v = (6, 9) and whichpoint in the same direction? (12,…

A: Solution:Given     v=(6,9)To find the vector are parellel to v and point in the same direction.

Q: The question says: "Find the magnitude and direction (in degrees) of the vector" V= 40 , 9

A: We use the magnitude formula with a=40 and b=9Answer: Magnitude = 41

Q: If the angle between the vectors A = xâ, +â̟and B = /3â, +â, is 60°, find x.

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Q: If à = 2a, + 2a,y – a, and B = 3a, + 2a, – 6a, are vectors, find (a) Ả ·Ē (b) Ả × B (c) Angle…

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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: s given 2 vector A and B of non zero magnitude, what is the angle between them if A.B as value -AB/2

A: The dot product between two vectors, X and Y is defined by the formula, X·Y=XYcosθ, where, θ is the…

Q: For what values of a and b are the vectors 4= (2a-b, -1) and v (41 3a -b) equal ? write your ans…

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Q: Which of the following vectors are parallel to v = (6, 9) and whichpoint in the same direction?…

A: Given: The vectors v=6,9, To determine: Whether the vector -24,-36 is parallel to given vector or…

Q: The angle between the vectors a=(2,6) and b=(3,-1) is Select one: O a. O b. 3 3. O d.

A: Angle between two vector  Vector a = 2i+6j Vector b= 3i-j

Q: The angle between two vectors a = (1, 1, 2) and b = (-1, 2, k) is 60°. Find the value(s) of

A: Topic:- application of vector algebra

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

A: topic - polygons

Q: 4. [6.1] If vector b is shown below, sketch a vector. a) Equal to b b) Opposite to b c) With the…

A: Solution of given question is written in below steps.

Q: For this problem, define the vectors v = and w = . Blank 1: Compute v - w. Blank 2: Is the angle…

A: Explanation of the answer is as follows

Q: Find the angle between the vectors r = (-1, 2) and s = (4, 2)

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Q: If the the femur bz is represented by the vector , find a vector b, that is perpendicular to the…

A: We have  Initial point =(-2,5) Terminal Point =(3,8) Now, Terminal Point-Initial…

Q: Ã = ë, + 3ểy – 2ể, : Calculate the angle between the B = 4ëx – ëy : vectors A* and B". = -3e, - 5ẽ,

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Q: At approximately what angle should the tails of two unit vectors a and y be placed if 2+ 7 = 1.5 60…

A: It is given that x→ and y→are two unit vectors, x→=1y→=1 Let the angle between the given two vectors…

Q: A new landowner has a triangular piece of flat land she wishes to fence. Starting at the west…

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Q: Given that the vectors ở = (1, 2– k,3) and b = (7, 4, k+2) are perpendicular, what is the value of…

A: Given vectors are: a→=1,2-k,3 and b→=7,4,k+2

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: 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: What is the area of the parallelogram formed using the vectors below as 2 sides of the…

A: What is the area of the parallelogram formed using the vectors t̄ and s̄ as 2 sides of the…

Q: For what value(s) of a is the angle between the vectors ⟨4, 1+ 2a, 4⟩ and ⟨1, 4, 4 − a⟩ obtuse?

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Q: B side of cube = 10 cm (A. B); (C. D); (E.G);(G.B) ? (Ex F); (A x G) dan (Cx F) ? 2. what is the…

A: From the given figure we get A→ = 10i+10k B→ =10iC→ =5j+10kD→=5i +10kE→ =10i+10jF→=10kG→=10i+10j+10k…

Q: Find the angle between the vectors v and w v = (−2, 3, 1)T , w = (1, 2, 4)T

A: Consider the given vectors: Here the objective is to find the angle between vector v and w.

Q: 2a.) Suppose u, w are two vectors in R7 satisfying uxu 4, wxw 16, uXw = 8, What is the cosine of the…

A: We are given that : u→.u→=4⇒u→u→cos 0=4⇒u→2=4⇒u→=2 w→.w→=16⇒w→w→cos 0=16⇒w→2=16⇒w→=4 Now, Let θ be…

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: Find the angle between vectorsu3(1,0,0) and v=(1,0,1)? a. T/3 b. л/6 с. л/2 d. /4 Jump to...

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Q: Find the measure of the angle between the two vectors. 24) u-(9,9) v-(-8,-5) V =

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Q: Given that the angle between the nonzero vectors đ = (u,,u2,u3), b = (u3.U2, -u,) is find the…

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Q: b. Find the angle between the vectors u = (18, –1, –7) and v = (-37,35, 2)

A: u = (18, -1, -7),  ∥ u ∥ = √[(18)2+(-1)2+(-7)2] = √374 v = (-37, 35, 2), ∥ v ∥ =…

Q: 14. Given that a and bare two vectors, then the vector (a + b) × (a – b) is A. perpendicular to (a –…

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