4. Given a = 5 m and b= 7 m, and the angle between the vectors ā and b is 102°, determine a +b, rounded to the nearest tenth of a metre.

Q: In the previous question, what is the angle between the two given vectors to the nearest degree? a)…

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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: 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 and V are vectors of lengths 2 and 3, respectively. If the angle between U and V is…

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

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

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Q: The angle between two vectors a & b is 0 and the magnitude of b is half of magnitude of a . If = ā-b…

A: Given: Angle between a→ and b→ is θ……1Magnitude of b→ is half of a→……2c→   =a→-b→……3a→=a……4

Q: For what value of m, the vector 4i + 2j – 3k and mi – j+ V3 k have same magnitude? Q.3

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

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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: . Given a and b are unit vectors, and the angle between them is 60deg , determine the value of |2a −…

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Q: The angle between the vectors i = î + 2î – 4k and w = 2î + 3ĵ + 5k is - obtuse. Select one: OTrue…

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Q: Let a=⟨−3,2⟩ and b=⟨2,−5⟩Find the angle between the vector, in degrees.

A: Let the angle between a and b is theta So,  We find a.b and |a| and |b| first

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: Given u = and v = find the angle between the vectors and и V

A: Given vector u→=&lt;4,-1&gt; and v→=&lt;3,5&gt; Formula to be used u→.v→=u→v→·cosθ

Q: Given three vectors, u, v, and w, if u (v x w) = 0, what geometrical result can be concluded?

A: We have to conclude the result of u→.(v→×w)=0→.

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: if these vectors A = 4i – 2j + 4k and B = 4i + 5 j

A: we have ;  A→=4i-2j+4k ............(1)B→=4i+5j+0k  ...............(2)

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: 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: Suppose that v and w are unit vectors. If the angle between v and i is a and the angle between w and…

A: Vector is a physical quantity having both magnitude and direction . Dot product of two vector A and…

Q: 3. Given the vectors v = i- 2j – 2k and w = 31 – 5j + 4k, find (a) the cosine of the angle between i…

A: The given vectors are, v→=i-2j-2kw→=3i-5j+4k The magnitudes of the vectors are as,…

Q: Given the equation, what is the angle between the two vectors? . Given X = 3j and Y = 2î + 2j, O A.…

A: We can find the angle between two vectors as below.

Q: If U and W are unit vectors in R" and |U - 3W = v13, then the angle between U and W is: O a. 30° O…

A: Option C will be the right answer.

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: Given that the vectors a=(6,-1,2k)  and b=(-1,k+1,4) are perpendicular, what is the value of k?

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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: Suppose the vector v has magnitude 26 and makes an angle of 308° with the positive x-axis (measured…

A: The magnitude of vector v is v = 26 The angle made by the vector with positive x-axis, θ = 308° To…

Q: Suppose the vector v has magnitude 31 and makes an angle of 339° with the positive x-axis (measured…

A: Given: v has magnitude 31 and the angle with the positive x-axis is 339° To find: v = a i + b j

Q: Is the following statement correct? If A, B, C, and D are distinct nonzero vectors represented by…

A: A, B, C, and D are distinct nonzero vectors represented by arrows from the origin to the points A,…

Q: Solve for the missing sides and angles of the given triangle. 2 45° A 4 a. C = 121.3°, A = 58.7°, b…

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Q: The angle between the vectors a=(2,6) and b=(3,-1) is :إختر أحد الخيارات а. 4 b. С. 3 d. 2

A: The required angle is, option (b) π/2 The detailed solution is as follows below:

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

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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: For the given vectors: a = (2,–3), b = (0,3), c = (1,4), find: (a) 3å – 6+ 2č (b) angle between the…

A: a) this is the case of scalar multiplication and then addition and subtraction. So 3 times of vector…

Q: Consider V=(6, -3) & W=(-4, 8) Find angle between the two vectors.

A: Recall: Angle between two vectors:     Let a→ and b→ be two vectors then,             cosθ=…

Q: Let ā = (4, 3) and b = (– 4, 4). Find the angle between the vector, in degrees.

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Q: Suppose the vector v has magnitude 25 and makes an angle of 309° with the positive x-axis (measured…

A: solution

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: If the vectors a and b are such that |a| |b| = -5, and a b = 10, then the angle between the two…

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Q: Suppose the vector v has magnitude 49 and makes an angle of 155° with the positive x-axis (measured…

A: The magnitude of the vector, v = 49 Angle between the vector and positive x-axis, θ = 155° To…

Q: If A C =-8.4, A = 3i-4j, and C =6.5, the angle between the two vectors when they are drawn starting…

A: Let θ be the angle between the two vectors

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 ? between the given vectors to the nearest tenth of a degree. U = 13i, V = −4j ? =

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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: A car travelled 50 miles due south then travelled 90 miles 35 degrees south of west. Solve for the…

A: Representing the given information graphically,

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: A hiker starts at his camp and moves the following distances while exploring his surroundings: 75.0…

A: Use coordinate geometry to find the displacement from camp..