Given vectorsui+4j and v = 31 + yj, find y so that the angle between the vectors is 30", y (Use a comma to separate answers as needed. Do not round until the final answer. Then round to three decimal places as needed.)

Q: Given 2D vectors a and b such that la= 7 and 1b=8 find the angle between the vectors if: a) la +b| =…

A: topic - angle between vectors

Q: graph with two vectors shown on it. Add them, ar d position. |10 7

A: In the graph given, consider two vectors u and v. The vector u→ has coordinates -5,3. The vector v→…

Q: Find the magnitude lvl , to the nearest hundredth, and the direction angle θ, to the nearest tenth…

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Q: In the figure here, D is the midpoint of side AB of triangle ABC, and E is one-third of the way…

A: Consider the figure shown belowAssume , D is the midpoint of side AB of triangle ABC , and E is…

Q: Determine the angle between the following vectors, to the nearest whole degree. p = [-3, 5, – 1] q =…

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Q: Find the angle θ between the vectors a=5i−j−4k and b=2i+j−4k. Answer (in radians)

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Q: Given the vectors shown, sketch ủ +v, ū-v, and 2u .

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Q: Suppose the vector s has magnitude 86 and makes an angle of 147° with the positive x-axis (measured…

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Q: If la| = v2, la + b| = v6 and la – b| = v2, find the angle between the two vectors å and b.

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Q: Find the magnitude lvl , to the nearest hundredth, and the direction angle θ, to the nearest tenth…

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Q: Find the angle u between the given vectors to the nearest tenth of a degree.    U= 13i, V = 26j

A: Consider the given: U=13iV=26jU⋅V=13i⋅26j=130+026=0

Q: Given 2 non-zero vectors ū and v, calculate (4ü +3v)•(2ũ – v) and express the final answer in terms…

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Q: if theta is the angle between the two vectors, v, and w, find the measure of angle theta in degrees,…

A: Use given vectors find angle between them

Q: Given two vectors P=-xi + yj – zk , where x, y, z represent the last three digits of your index…

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Q: If v × w =4i −j +k, and v⋅w=5, and θ is the angle between v and w, then tanθ = ? v and w are…

A: Given  v × w =4i −j +k, and v⋅w=5, and θ is the angle between v and w  Now we have to find tanθ as…

Q: Find the magnitude ||v|| and the direction angle 0 for the given vector v. v= - 4i + 14j (Round to…

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Q: Find the magnitude lvl , to the nearest hundredth, and the direction angle θ, to the nearest tenth…

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Q: Given |?⃗| = 8 and |?⃗⃗| = 5 . If the angle between the vectors is 120° , determine ?⃗ ∙ ?⃗⃗.  DOT…

A: By using definition of Dot product of vector that is: v. u =|v||u|cos(w)  w be the angle between…

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: Let the angle between two nonzero vectors u and V be 45°, the magnitude of the vectors be a and 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: The angle between the vectors A = 17- 31+4 k and B= 5î -3ĵ+0 k, in term of cose is Answer:

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Q: Suppose the vector w has magnitude 16 and makes an angle of 339° with the positive x-axis (measured…

A: Given:    Magnitude ( r) = 16    Angle = 339°

Q: Given the vector u→=⟨-4,-6⟩, find the magnitude and angle in which the vector points (measured…

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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: = 3. 6. Find the magnitude of the resultant of two vectors u and v, given = 5 and the angle between…

A: Explanation of the answer is as follows

Q: =5, and the angle between u and v is 30°. Find the magnitude (to onc decimal place) and direction…

A: Given that: |u→|=2 and |v→|=5 and angle between u→ and v→=30°

Q: If two nonzero vectors v and w are orthogonal, then the angle between them has which of the…

A: Two non-zero vectors v and w are orthogonal if angle between them is π2. The dot products of two…

Q: Find the magnitude and direction angle of the resultant of each pair of vectors. t = (17, 12) u =…

A: We use vector additions.

Q: Find the magnitude Iv|| and the direction angle 0 for the given vector v. v= - 7i+ 10j ... (Round to…

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Q: Find the angle between the given vectors. Round to the nearest tenth of a degree. u = i - j, v = 3i…

A: Here we will find the angle between given vectors,

Q: What is the angle of vectors A=5m South and B=15m 60° South of West?

A: `Vector is a quantity that has magnitude as well as direction. So we need to find the angle of…

Q: Find the magnitude ||v|| and the direction angle 0 for the given vector v. v = - 5i + 13j %3D (Round…

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Q: An angle in standard position lies in 2nd quadrant, and the point Q on its terminal side has radius…

A: The distance along the y-axis is called the ordinate.

Q: The angle between the vectors ū = i + 2j – 4k and w = 2î + 3j + 5k is obtuse.

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Q: For vectors ū = (1,-5,2) and v = (3, 1,-4), calculate the following: a) ū• i b) the angle between ū…

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Q: and D. Find the values of x such that the angle between the vectors is 90".

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Q: Find the angle between the vectors v = 4i - 3j and w = i + 2j. Round to the nearest tenth of a…

A: Given vectors,v=4i-3j  and w=i+2jwe have to find the angle between given vectors

Q: Given the vector ū = (– 2, 4), find the magnitude and angle in which the vector points (measured…

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Q: Given the following vectors: di = 3î – 2j, d, = -5î + 2j – k What is (di + dz) · (dị × (4dz))?

A: d1 =3i-2j+0k d2 =-5i+2j-k

Q: Find the angle θ between the given vectors to the nearest tenth of a degree. ​ U = 16i − 8j V =…

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Q: Given vectors u =i+ 2j and v = 3i + yj, find y so that the angle between the vectors is 30°. .....…

A: Here, the given two vectors are: u=i+2j=<1,2>&v=3i+yj=<3,y> And, also given that the…

Q: Given the vectors v = 4i + 2j + k and w = 3i – 4j + k. Find the angle between v and w .

A: We know, the angle between two vectors v→ and w→ is θ = cos-1v→·w→|v→| |w→|

Q: Given that PQRS is a parallelogram, find a simplified expression for each of the following vectors…

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Q: Given the vectors v =i+ 3j – 2k and w= 3i – 4j + k. Find the area of the parallelogram with sides…

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Q: and Let ū Let e be the angle between ū and ū. ob tuse ? why ? acute, right , or ca) Is (6) Find a…

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Q: Suppose the vector v has magnitude 14 and makes an angle of 136° with the positive x-axis (measured…

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Q: Given two vectors P = 9i + 9j + (-9k), Q = (-6j) The angle between the two vectors is

A: We have two vectors P=9i+9j-9k and Q=-6j. Then the angle between the two vectors.

Q: Find the magnitude of the vector and the angle e, 0° se < 360°, that the vector makes with the…

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